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Finding the Fourth Proportional to 27,791.67, 38,348.94 and 15,854.31

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Solution

The fourth proportional to 27,791.67, 38,348.94 and 15,854.31 is: 21,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.67 : 38,348.94 = 15,854.31 : x
  2. Step 2: Convert to fraction form
    27,791.67/38,348.94 = 15,854.31/x
  3. Step 3: Cross multiply
    27,791.67x = 38,348.94 × 15,854.31
  4. Step 4: Simplify right side
    27,791.67x = 607,995,982.93
  5. Step 5: Solve for x
    x = 607,995,982.93/27,791.67
  6. Step 6: Final answer
    x = 21,876.91

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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.