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Finding the Fourth Proportional to 16,242.48, 22,414.16 and 9,169.56

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Solution

The fourth proportional to 16,242.48, 22,414.16 and 9,169.56 is: 12,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.48 : 22,414.16 = 9,169.56 : x
  2. Step 2: Convert to fraction form
    16,242.48/22,414.16 = 9,169.56/x
  3. Step 3: Cross multiply
    16,242.48x = 22,414.16 × 9,169.56
  4. Step 4: Simplify right side
    16,242.48x = 205,527,984.97
  5. Step 5: Solve for x
    x = 205,527,984.97/16,242.48
  6. Step 6: Final answer
    x = 12,653.73

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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.