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Finding the Fourth Proportional to 22,031.91, 30,404.16 and 11,960.37

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Solution

The fourth proportional to 22,031.91, 30,404.16 and 11,960.37 is: 16,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.91 : 30,404.16 = 11,960.37 : x
  2. Step 2: Convert to fraction form
    22,031.91/30,404.16 = 11,960.37/x
  3. Step 3: Cross multiply
    22,031.91x = 30,404.16 × 11,960.37
  4. Step 4: Simplify right side
    22,031.91x = 363,645,003.14
  5. Step 5: Solve for x
    x = 363,645,003.14/22,031.91
  6. Step 6: Final answer
    x = 16,505.38

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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.