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Finding the Fourth Proportional to 16,046.92, 22,147.14 and 9,336.52

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Solution

The fourth proportional to 16,046.92, 22,147.14 and 9,336.52 is: 12,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.92 : 22,147.14 = 9,336.52 : x
  2. Step 2: Convert to fraction form
    16,046.92/22,147.14 = 9,336.52/x
  3. Step 3: Cross multiply
    16,046.92x = 22,147.14 × 9,336.52
  4. Step 4: Simplify right side
    16,046.92x = 206,777,215.55
  5. Step 5: Solve for x
    x = 206,777,215.55/16,046.92
  6. Step 6: Final answer
    x = 12,885.79

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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.