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Finding the Fourth Proportional to 27,902.25, 38,505.11 and 15,327

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Solution

The fourth proportional to 27,902.25, 38,505.11 and 15,327 is: 21,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.25 : 38,505.11 = 15,327 : x
  2. Step 2: Convert to fraction form
    27,902.25/38,505.11 = 15,327/x
  3. Step 3: Cross multiply
    27,902.25x = 38,505.11 × 15,327
  4. Step 4: Simplify right side
    27,902.25x = 590,167,744.34
  5. Step 5: Solve for x
    x = 590,167,744.34/27,902.25
  6. Step 6: Final answer
    x = 21,151.26

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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.