At any time that the Secretary makes an allotment or reallotment to any State under any applicable program, the Secretary shall reduce such allotment or reallotment by such amount as the Secretary determines such allotment or reallotment would have been reduced, had the data on which such allotment or reallotment is based excluded all data relating to local educational agencies of the State that, on the date of the Secretary’s action, are ineligible to receive the Federal financial assistance involved because of failure to comply with title VI of the Civil Rights Act of 1964 [42 U.S.C. 2000d et seq.], title IX of the Education Amendments of 1972 [20 U.S.C. 1681 et seq.], section 794 of title 29, or the Age Discrimination Act of 1975 [42 U.S.C. 6101 et seq.].