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Finding the Fourth Proportional to 16,414.20, 24,605.10 and 8,087.40

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Solution

The fourth proportional to 16,414.20, 24,605.10 and 8,087.40 is: 12,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.20 : 24,605.10 = 8,087.40 : x
  2. Step 2: Convert to fraction form
    16,414.20/24,605.10 = 8,087.40/x
  3. Step 3: Cross multiply
    16,414.20x = 24,605.10 × 8,087.40
  4. Step 4: Simplify right side
    16,414.20x = 198,991,285.74
  5. Step 5: Solve for x
    x = 198,991,285.74/16,414.20
  6. Step 6: Final answer
    x = 12,123.12

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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.