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Finding the Fourth Proportional to 22,615.38, 31,205.48 and 12,542.22

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Solution

The fourth proportional to 22,615.38, 31,205.48 and 12,542.22 is: 17,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.38 : 31,205.48 = 12,542.22 : x
  2. Step 2: Convert to fraction form
    22,615.38/31,205.48 = 12,542.22/x
  3. Step 3: Cross multiply
    22,615.38x = 31,205.48 × 12,542.22
  4. Step 4: Simplify right side
    22,615.38x = 391,385,932.65
  5. Step 5: Solve for x
    x = 391,385,932.65/22,615.38
  6. Step 6: Final answer
    x = 17,306.18

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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.