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Finding the Fourth Proportional to 23,073.38, 31,841.29 and 12,463.02

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Solution

The fourth proportional to 23,073.38, 31,841.29 and 12,463.02 is: 17,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.38 : 31,841.29 = 12,463.02 : x
  2. Step 2: Convert to fraction form
    23,073.38/31,841.29 = 12,463.02/x
  3. Step 3: Cross multiply
    23,073.38x = 31,841.29 × 12,463.02
  4. Step 4: Simplify right side
    23,073.38x = 396,838,571.78
  5. Step 5: Solve for x
    x = 396,838,571.78/23,073.38
  6. Step 6: Final answer
    x = 17,198.98

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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.