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Finding the Fourth Proportional to 16,339.92, 22,553.70 and 9,629.42

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Solution

The fourth proportional to 16,339.92, 22,553.70 and 9,629.42 is: 13,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.92 : 22,553.70 = 9,629.42 : x
  2. Step 2: Convert to fraction form
    16,339.92/22,553.70 = 9,629.42/x
  3. Step 3: Cross multiply
    16,339.92x = 22,553.70 × 9,629.42
  4. Step 4: Simplify right side
    16,339.92x = 217,179,049.85
  5. Step 5: Solve for x
    x = 217,179,049.85/16,339.92
  6. Step 6: Final answer
    x = 13,291.32

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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.