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Finding the Fourth Proportional to 22,038.26, 30,418.20 and 13,542.44

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Solution

The fourth proportional to 22,038.26, 30,418.20 and 13,542.44 is: 18,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.26 : 30,418.20 = 13,542.44 : x
  2. Step 2: Convert to fraction form
    22,038.26/30,418.20 = 13,542.44/x
  3. Step 3: Cross multiply
    22,038.26x = 30,418.20 × 13,542.44
  4. Step 4: Simplify right side
    22,038.26x = 411,936,648.41
  5. Step 5: Solve for x
    x = 411,936,648.41/22,038.26
  6. Step 6: Final answer
    x = 18,691.89

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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.