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Finding the Fourth Proportional to 27,731.54, 38,269.52 and 15,156.29

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Solution

The fourth proportional to 27,731.54, 38,269.52 and 15,156.29 is: 20,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.54 : 38,269.52 = 15,156.29 : x
  2. Step 2: Convert to fraction form
    27,731.54/38,269.52 = 15,156.29/x
  3. Step 3: Cross multiply
    27,731.54x = 38,269.52 × 15,156.29
  4. Step 4: Simplify right side
    27,731.54x = 580,023,943.28
  5. Step 5: Solve for x
    x = 580,023,943.28/27,731.54
  6. Step 6: Final answer
    x = 20,915.68

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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.