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Finding the Fourth Proportional to 27,965.64, 41,949.18 and 8,244.90

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Solution

The fourth proportional to 27,965.64, 41,949.18 and 8,244.90 is: 12,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.64 : 41,949.18 = 8,244.90 : x
  2. Step 2: Convert to fraction form
    27,965.64/41,949.18 = 8,244.90/x
  3. Step 3: Cross multiply
    27,965.64x = 41,949.18 × 8,244.90
  4. Step 4: Simplify right side
    27,965.64x = 345,866,794.18
  5. Step 5: Solve for x
    x = 345,866,794.18/27,965.64
  6. Step 6: Final answer
    x = 12,367.56

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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.