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Finding the Fourth Proportional to 13,847.40, 20,778.40 and 8,311.86

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Solution

The fourth proportional to 13,847.40, 20,778.40 and 8,311.86 is: 12,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.40 : 20,778.40 = 8,311.86 : x
  2. Step 2: Convert to fraction form
    13,847.40/20,778.40 = 8,311.86/x
  3. Step 3: Cross multiply
    13,847.40x = 20,778.40 × 8,311.86
  4. Step 4: Simplify right side
    13,847.40x = 172,707,151.82
  5. Step 5: Solve for x
    x = 172,707,151.82/13,847.40
  6. Step 6: Final answer
    x = 12,472.17

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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.