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Finding the Fourth Proportional to 16,471.14, 24,711.84 and 5,377.92

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Solution

The fourth proportional to 16,471.14, 24,711.84 and 5,377.92 is: 8,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.14 : 24,711.84 = 5,377.92 : x
  2. Step 2: Convert to fraction form
    16,471.14/24,711.84 = 5,377.92/x
  3. Step 3: Cross multiply
    16,471.14x = 24,711.84 × 5,377.92
  4. Step 4: Simplify right side
    16,471.14x = 132,898,298.57
  5. Step 5: Solve for x
    x = 132,898,298.57/16,471.14
  6. Step 6: Final answer
    x = 8,068.55

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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.