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Finding the Fourth Proportional to 20,434.62, 30,640.17 and 8,578.62

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Solution

The fourth proportional to 20,434.62, 30,640.17 and 8,578.62 is: 12,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.62 : 30,640.17 = 8,578.62 : x
  2. Step 2: Convert to fraction form
    20,434.62/30,640.17 = 8,578.62/x
  3. Step 3: Cross multiply
    20,434.62x = 30,640.17 × 8,578.62
  4. Step 4: Simplify right side
    20,434.62x = 262,850,375.17
  5. Step 5: Solve for x
    x = 262,850,375.17/20,434.62
  6. Step 6: Final answer
    x = 12,862.99

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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.