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Finding the Fourth Proportional to 23,012.38, 31,753.12 and 12,939.42

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Solution

The fourth proportional to 23,012.38, 31,753.12 and 12,939.42 is: 17,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.38 : 31,753.12 = 12,939.42 : x
  2. Step 2: Convert to fraction form
    23,012.38/31,753.12 = 12,939.42/x
  3. Step 3: Cross multiply
    23,012.38x = 31,753.12 × 12,939.42
  4. Step 4: Simplify right side
    23,012.38x = 410,866,891.29
  5. Step 5: Solve for x
    x = 410,866,891.29/23,012.38
  6. Step 6: Final answer
    x = 17,854.17

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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.