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Finding the Fourth Proportional to 16,128.69, 22,257.18 and 9,414.60

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Solution

The fourth proportional to 16,128.69, 22,257.18 and 9,414.60 is: 12,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.69 : 22,257.18 = 9,414.60 : x
  2. Step 2: Convert to fraction form
    16,128.69/22,257.18 = 9,414.60/x
  3. Step 3: Cross multiply
    16,128.69x = 22,257.18 × 9,414.60
  4. Step 4: Simplify right side
    16,128.69x = 209,542,446.83
  5. Step 5: Solve for x
    x = 209,542,446.83/16,128.69
  6. Step 6: Final answer
    x = 12,991.91

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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.