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Finding the Fourth Proportional to 27,231.62, 40,847.46 and 8,511.75

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Solution

The fourth proportional to 27,231.62, 40,847.46 and 8,511.75 is: 12,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.62 : 40,847.46 = 8,511.75 : x
  2. Step 2: Convert to fraction form
    27,231.62/40,847.46 = 8,511.75/x
  3. Step 3: Cross multiply
    27,231.62x = 40,847.46 × 8,511.75
  4. Step 4: Simplify right side
    27,231.62x = 347,683,367.66
  5. Step 5: Solve for x
    x = 347,683,367.66/27,231.62
  6. Step 6: Final answer
    x = 12,767.63

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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.