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Finding the Fourth Proportional to 16,508.20, 24,766.14 and 5,414.20

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Solution

The fourth proportional to 16,508.20, 24,766.14 and 5,414.20 is: 8,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.20 : 24,766.14 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    16,508.20/24,766.14 = 5,414.20/x
  3. Step 3: Cross multiply
    16,508.20x = 24,766.14 × 5,414.20
  4. Step 4: Simplify right side
    16,508.20x = 134,088,835.19
  5. Step 5: Solve for x
    x = 134,088,835.19/16,508.20
  6. Step 6: Final answer
    x = 8,122.56

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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.