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Finding the Fourth Proportional to 20,591.57, 30,863.47 and 9,474.92

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Solution

The fourth proportional to 20,591.57, 30,863.47 and 9,474.92 is: 14,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.57 : 30,863.47 = 9,474.92 : x
  2. Step 2: Convert to fraction form
    20,591.57/30,863.47 = 9,474.92/x
  3. Step 3: Cross multiply
    20,591.57x = 30,863.47 × 9,474.92
  4. Step 4: Simplify right side
    20,591.57x = 292,428,909.17
  5. Step 5: Solve for x
    x = 292,428,909.17/20,591.57
  6. Step 6: Final answer
    x = 14,201.39

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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.