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Finding the Fourth Proportional to 27,229.29, 40,778.31 and 15,506.97

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Solution

The fourth proportional to 27,229.29, 40,778.31 and 15,506.97 is: 23,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.29 : 40,778.31 = 15,506.97 : x
  2. Step 2: Convert to fraction form
    27,229.29/40,778.31 = 15,506.97/x
  3. Step 3: Cross multiply
    27,229.29x = 40,778.31 × 15,506.97
  4. Step 4: Simplify right side
    27,229.29x = 632,348,029.82
  5. Step 5: Solve for x
    x = 632,348,029.82/27,229.29
  6. Step 6: Final answer
    x = 23,223.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.