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Finding the Fourth Proportional to 16,424.88, 22,660.70 and 9,253.68

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Solution

The fourth proportional to 16,424.88, 22,660.70 and 9,253.68 is: 12,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.88 : 22,660.70 = 9,253.68 : x
  2. Step 2: Convert to fraction form
    16,424.88/22,660.70 = 9,253.68/x
  3. Step 3: Cross multiply
    16,424.88x = 22,660.70 × 9,253.68
  4. Step 4: Simplify right side
    16,424.88x = 209,694,866.38
  5. Step 5: Solve for x
    x = 209,694,866.38/16,424.88
  6. Step 6: Final answer
    x = 12,766.90

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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.