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Finding the Fourth Proportional to 22,031.97, 30,404.15 and 11,960.42

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Solution

The fourth proportional to 22,031.97, 30,404.15 and 11,960.42 is: 16,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.97 : 30,404.15 = 11,960.42 : x
  2. Step 2: Convert to fraction form
    22,031.97/30,404.15 = 11,960.42/x
  3. Step 3: Cross multiply
    22,031.97x = 30,404.15 × 11,960.42
  4. Step 4: Simplify right side
    22,031.97x = 363,646,191.92
  5. Step 5: Solve for x
    x = 363,646,191.92/22,031.97
  6. Step 6: Final answer
    x = 16,505.39

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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.