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Finding the Fourth Proportional to 27,691.84, 38,211.26 and 15,755.38

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Solution

The fourth proportional to 27,691.84, 38,211.26 and 15,755.38 is: 21,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.84 : 38,211.26 = 15,755.38 : x
  2. Step 2: Convert to fraction form
    27,691.84/38,211.26 = 15,755.38/x
  3. Step 3: Cross multiply
    27,691.84x = 38,211.26 × 15,755.38
  4. Step 4: Simplify right side
    27,691.84x = 602,032,651.75
  5. Step 5: Solve for x
    x = 602,032,651.75/27,691.84
  6. Step 6: Final answer
    x = 21,740.44

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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.