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Finding the Fourth Proportional to 27,915.20, 41,876.89 and 8,191.16

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Solution

The fourth proportional to 27,915.20, 41,876.89 and 8,191.16 is: 12,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.20 : 41,876.89 = 8,191.16 : x
  2. Step 2: Convert to fraction form
    27,915.20/41,876.89 = 8,191.16/x
  3. Step 3: Cross multiply
    27,915.20x = 41,876.89 × 8,191.16
  4. Step 4: Simplify right side
    27,915.20x = 343,020,306.29
  5. Step 5: Solve for x
    x = 343,020,306.29/27,915.20
  6. Step 6: Final answer
    x = 12,287.94

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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.