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Finding the Fourth Proportional to 21,691.12, 29,937.14 and 13,195.88

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Solution

The fourth proportional to 21,691.12, 29,937.14 and 13,195.88 is: 18,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.12 : 29,937.14 = 13,195.88 : x
  2. Step 2: Convert to fraction form
    21,691.12/29,937.14 = 13,195.88/x
  3. Step 3: Cross multiply
    21,691.12x = 29,937.14 × 13,195.88
  4. Step 4: Simplify right side
    21,691.12x = 395,046,906.98
  5. Step 5: Solve for x
    x = 395,046,906.98/21,691.12
  6. Step 6: Final answer
    x = 18,212.38

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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.