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Finding the Fourth Proportional to 16,049.92, 22,148.72 and 8,976.38

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Solution

The fourth proportional to 16,049.92, 22,148.72 and 8,976.38 is: 12,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.92 : 22,148.72 = 8,976.38 : x
  2. Step 2: Convert to fraction form
    16,049.92/22,148.72 = 8,976.38/x
  3. Step 3: Cross multiply
    16,049.92x = 22,148.72 × 8,976.38
  4. Step 4: Simplify right side
    16,049.92x = 198,815,327.23
  5. Step 5: Solve for x
    x = 198,815,327.23/16,049.92
  6. Step 6: Final answer
    x = 12,387.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.