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Finding the Fourth Proportional to 24,177.14, 36,243.84 and 8,591.12

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Solution

The fourth proportional to 24,177.14, 36,243.84 and 8,591.12 is: 12,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.14 : 36,243.84 = 8,591.12 : x
  2. Step 2: Convert to fraction form
    24,177.14/36,243.84 = 8,591.12/x
  3. Step 3: Cross multiply
    24,177.14x = 36,243.84 × 8,591.12
  4. Step 4: Simplify right side
    24,177.14x = 311,375,178.70
  5. Step 5: Solve for x
    x = 311,375,178.70/24,177.14
  6. Step 6: Final answer
    x = 12,878.91

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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.