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Finding the Fourth Proportional to 14,517.30, 20,033.31 and 8,229.90

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Solution

The fourth proportional to 14,517.30, 20,033.31 and 8,229.90 is: 11,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.30 : 20,033.31 = 8,229.90 : x
  2. Step 2: Convert to fraction form
    14,517.30/20,033.31 = 8,229.90/x
  3. Step 3: Cross multiply
    14,517.30x = 20,033.31 × 8,229.90
  4. Step 4: Simplify right side
    14,517.30x = 164,872,137.97
  5. Step 5: Solve for x
    x = 164,872,137.97/14,517.30
  6. Step 6: Final answer
    x = 11,356.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.