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Finding the Fourth Proportional to 16,229.69, 22,396.97 and 9,155.96

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Solution

The fourth proportional to 16,229.69, 22,396.97 and 9,155.96 is: 12,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.69 : 22,396.97 = 9,155.96 : x
  2. Step 2: Convert to fraction form
    16,229.69/22,396.97 = 9,155.96/x
  3. Step 3: Cross multiply
    16,229.69x = 22,396.97 × 9,155.96
  4. Step 4: Simplify right side
    16,229.69x = 205,065,761.44
  5. Step 5: Solve for x
    x = 205,065,761.44/16,229.69
  6. Step 6: Final answer
    x = 12,635.22

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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.