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Finding the Fourth Proportional to 16,229.50, 22,398.96 and 9,517.84

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Solution

The fourth proportional to 16,229.50, 22,398.96 and 9,517.84 is: 13,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.50 : 22,398.96 = 9,517.84 : x
  2. Step 2: Convert to fraction form
    16,229.50/22,398.96 = 9,517.84/x
  3. Step 3: Cross multiply
    16,229.50x = 22,398.96 × 9,517.84
  4. Step 4: Simplify right side
    16,229.50x = 213,189,717.45
  5. Step 5: Solve for x
    x = 213,189,717.45/16,229.50
  6. Step 6: Final answer
    x = 13,135.94

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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.