What must be added to each of the numbers 10,17,24,38to get the numbers which are in proportion ?
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Let the number added be x.
According to the question,
(10+x)/(17+x) = (24+x)/(38+x)
=> (10+x)(38+x) = (24+x)(17+x)
=> 380 + 48x + x^2 = 408 + 41x + x^2
=> 380 - 408 + 48x - 41x + x^2 - x^2 = 0
=> -28 + 7x = 0
=> 7x = 28
=> x = 28/7
.•. x = 4
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