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Finding the Fourth Proportional to 20,899.26, 31,339.17 and 8,414.46

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Solution

The fourth proportional to 20,899.26, 31,339.17 and 8,414.46 is: 12,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.26 : 31,339.17 = 8,414.46 : x
  2. Step 2: Convert to fraction form
    20,899.26/31,339.17 = 8,414.46/x
  3. Step 3: Cross multiply
    20,899.26x = 31,339.17 × 8,414.46
  4. Step 4: Simplify right side
    20,899.26x = 263,702,192.40
  5. Step 5: Solve for x
    x = 263,702,192.40/20,899.26
  6. Step 6: Final answer
    x = 12,617.78

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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.