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Finding the Fourth Proportional to 27,110.87, 40,651.71 and 8,382.86

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Solution

The fourth proportional to 27,110.87, 40,651.71 and 8,382.86 is: 12,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.87 : 40,651.71 = 8,382.86 : x
  2. Step 2: Convert to fraction form
    27,110.87/40,651.71 = 8,382.86/x
  3. Step 3: Cross multiply
    27,110.87x = 40,651.71 × 8,382.86
  4. Step 4: Simplify right side
    27,110.87x = 340,777,511.44
  5. Step 5: Solve for x
    x = 340,777,511.44/27,110.87
  6. Step 6: Final answer
    x = 12,569.77

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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.