Williams College average net price for those first year students receiving grants or scholarships = $18,167.
A quick check of a very limited number of schools on Parchment shows that these 9 schools (there are more) beat out Williams College for cross admits: (i.e. cross admits preferred these universities over Williams College .)
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Univ. of Chicago–$31,068
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Columbia–$22,973
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Univ. of Pennsylvania–$22,944
4)Duke–$19,950
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Yale–$18,319
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Princeton–$17,732
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Stanford–$16,695
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Harvard–$16,205
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UCLA–$14,236
While Williams College lower average net cost of $18,167 wins out over:
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Dartmouth College–$21,177
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Cornell University–$30,014
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Northwestern University–$29,326
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Washington Univ. St. Louis–$28,824
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Brown (although almost a tie among cross admits)–$25,264
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Univ. of Michigan (although almost a tie among cross admits)–$16,107
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USC–$32,932
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NYU–$35,147
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Amherst College–$19,055
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UC–Berkeley–$17,160
The Parchment site that I used for the cross admit battles does not show how many students were cross admits.