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Finding the Fourth Proportional to 27,654.71, 38,167.22 and 17,584.15

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Solution

The fourth proportional to 27,654.71, 38,167.22 and 17,584.15 is: 24,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.71 : 38,167.22 = 17,584.15 : x
  2. Step 2: Convert to fraction form
    27,654.71/38,167.22 = 17,584.15/x
  3. Step 3: Cross multiply
    27,654.71x = 38,167.22 × 17,584.15
  4. Step 4: Simplify right side
    27,654.71x = 671,138,033.64
  5. Step 5: Solve for x
    x = 671,138,033.64/27,654.71
  6. Step 6: Final answer
    x = 24,268.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.