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Finding the Fourth Proportional to 16,278.76, 24,401.68 and 6,414.20

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Solution

The fourth proportional to 16,278.76, 24,401.68 and 6,414.20 is: 9,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.76 : 24,401.68 = 6,414.20 : x
  2. Step 2: Convert to fraction form
    16,278.76/24,401.68 = 6,414.20/x
  3. Step 3: Cross multiply
    16,278.76x = 24,401.68 × 6,414.20
  4. Step 4: Simplify right side
    16,278.76x = 156,517,255.86
  5. Step 5: Solve for x
    x = 156,517,255.86/16,278.76
  6. Step 6: Final answer
    x = 9,614.81

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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.