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Finding the Fourth Proportional to 16,591.14, 24,890.22 and 5,497.20

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Solution

The fourth proportional to 16,591.14, 24,890.22 and 5,497.20 is: 8,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.14 : 24,890.22 = 5,497.20 : x
  2. Step 2: Convert to fraction form
    16,591.14/24,890.22 = 5,497.20/x
  3. Step 3: Cross multiply
    16,591.14x = 24,890.22 × 5,497.20
  4. Step 4: Simplify right side
    16,591.14x = 136,826,517.38
  5. Step 5: Solve for x
    x = 136,826,517.38/16,591.14
  6. Step 6: Final answer
    x = 8,246.96

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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.