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Finding the Fourth Proportional to 26,874.43, 40,311.73 and 8,154.62

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Solution

The fourth proportional to 26,874.43, 40,311.73 and 8,154.62 is: 12,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.43 : 40,311.73 = 8,154.62 : x
  2. Step 2: Convert to fraction form
    26,874.43/40,311.73 = 8,154.62/x
  3. Step 3: Cross multiply
    26,874.43x = 40,311.73 × 8,154.62
  4. Step 4: Simplify right side
    26,874.43x = 328,726,799.50
  5. Step 5: Solve for x
    x = 328,726,799.50/26,874.43
  6. Step 6: Final answer
    x = 12,231.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.