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Finding the Fourth Proportional to 27,876.78, 38,469.90 and 15,301.26

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Solution

The fourth proportional to 27,876.78, 38,469.90 and 15,301.26 is: 21,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.78 : 38,469.90 = 15,301.26 : x
  2. Step 2: Convert to fraction form
    27,876.78/38,469.90 = 15,301.26/x
  3. Step 3: Cross multiply
    27,876.78x = 38,469.90 × 15,301.26
  4. Step 4: Simplify right side
    27,876.78x = 588,637,942.07
  5. Step 5: Solve for x
    x = 588,637,942.07/27,876.78
  6. Step 6: Final answer
    x = 21,115.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.