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Finding the Fourth Proportional to 13,789.71, 20,687.67 and 5,024.66

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Solution

The fourth proportional to 13,789.71, 20,687.67 and 5,024.66 is: 7,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.71 : 20,687.67 = 5,024.66 : x
  2. Step 2: Convert to fraction form
    13,789.71/20,687.67 = 5,024.66/x
  3. Step 3: Cross multiply
    13,789.71x = 20,687.67 × 5,024.66
  4. Step 4: Simplify right side
    13,789.71x = 103,948,404.50
  5. Step 5: Solve for x
    x = 103,948,404.50/13,789.71
  6. Step 6: Final answer
    x = 7,538.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.