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Finding the Fourth Proportional to 27,706.31, 38,234.17 and 15,131.15

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Solution

The fourth proportional to 27,706.31, 38,234.17 and 15,131.15 is: 20,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.31 : 38,234.17 = 15,131.15 : x
  2. Step 2: Convert to fraction form
    27,706.31/38,234.17 = 15,131.15/x
  3. Step 3: Cross multiply
    27,706.31x = 38,234.17 × 15,131.15
  4. Step 4: Simplify right side
    27,706.31x = 578,526,961.40
  5. Step 5: Solve for x
    x = 578,526,961.40/27,706.31
  6. Step 6: Final answer
    x = 20,880.69

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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.