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Finding the Fourth Proportional to 27,824.13, 41,728.64 and 8,097.57

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Solution

The fourth proportional to 27,824.13, 41,728.64 and 8,097.57 is: 12,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.13 : 41,728.64 = 8,097.57 : x
  2. Step 2: Convert to fraction form
    27,824.13/41,728.64 = 8,097.57/x
  3. Step 3: Cross multiply
    27,824.13x = 41,728.64 × 8,097.57
  4. Step 4: Simplify right side
    27,824.13x = 337,900,542.92
  5. Step 5: Solve for x
    x = 337,900,542.92/27,824.13
  6. Step 6: Final answer
    x = 12,144.15

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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.