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Finding the Fourth Proportional to 22,612.38, 31,205.09 and 12,542.37

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Solution

The fourth proportional to 22,612.38, 31,205.09 and 12,542.37 is: 17,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.38 : 31,205.09 = 12,542.37 : x
  2. Step 2: Convert to fraction form
    22,612.38/31,205.09 = 12,542.37/x
  3. Step 3: Cross multiply
    22,612.38x = 31,205.09 × 12,542.37
  4. Step 4: Simplify right side
    22,612.38x = 391,385,784.66
  5. Step 5: Solve for x
    x = 391,385,784.66/22,612.38
  6. Step 6: Final answer
    x = 17,308.47

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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.