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\frac{1}{4}x=24500-x
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{1}{4}x+x=24500
Add x to both sides.
\frac{5}{4}x=24500
Combine \frac{1}{4}x and x to get \frac{5}{4}x.
x=24500\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
x=\frac{24500\times 4}{5}
Express 24500\times \frac{4}{5} as a single fraction.
x=\frac{98000}{5}
Multiply 24500 and 4 to get 98000.
x=19600
Divide 98000 by 5 to get 19600.