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Finding the Fourth Proportional to 13,437.92, 20,141.18 and 9,874.88

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Solution

The fourth proportional to 13,437.92, 20,141.18 and 9,874.88 is: 14,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.92 : 20,141.18 = 9,874.88 : x
  2. Step 2: Convert to fraction form
    13,437.92/20,141.18 = 9,874.88/x
  3. Step 3: Cross multiply
    13,437.92x = 20,141.18 × 9,874.88
  4. Step 4: Simplify right side
    13,437.92x = 198,891,735.56
  5. Step 5: Solve for x
    x = 198,891,735.56/13,437.92
  6. Step 6: Final answer
    x = 14,800.78

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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.