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Finding the Fourth Proportional to 16,105.52, 22,224.48 and 8,935.80

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Solution

The fourth proportional to 16,105.52, 22,224.48 and 8,935.80 is: 12,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.52 : 22,224.48 = 8,935.80 : x
  2. Step 2: Convert to fraction form
    16,105.52/22,224.48 = 8,935.80/x
  3. Step 3: Cross multiply
    16,105.52x = 22,224.48 × 8,935.80
  4. Step 4: Simplify right side
    16,105.52x = 198,593,508.38
  5. Step 5: Solve for x
    x = 198,593,508.38/16,105.52
  6. Step 6: Final answer
    x = 12,330.77

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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.