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Finding the Fourth Proportional to 27,691.31, 38,214.90 and 15,755.42

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Solution

The fourth proportional to 27,691.31, 38,214.90 and 15,755.42 is: 21,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.31 : 38,214.90 = 15,755.42 : x
  2. Step 2: Convert to fraction form
    27,691.31/38,214.90 = 15,755.42/x
  3. Step 3: Cross multiply
    27,691.31x = 38,214.90 × 15,755.42
  4. Step 4: Simplify right side
    27,691.31x = 602,091,895.30
  5. Step 5: Solve for x
    x = 602,091,895.30/27,691.31
  6. Step 6: Final answer
    x = 21,742.99

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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.