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Finding the Fourth Proportional to 13,432.74, 20,149.21 and 8,505.81

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Solution

The fourth proportional to 13,432.74, 20,149.21 and 8,505.81 is: 12,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.74 : 20,149.21 = 8,505.81 : x
  2. Step 2: Convert to fraction form
    13,432.74/20,149.21 = 8,505.81/x
  3. Step 3: Cross multiply
    13,432.74x = 20,149.21 × 8,505.81
  4. Step 4: Simplify right side
    13,432.74x = 171,385,314.70
  5. Step 5: Solve for x
    x = 171,385,314.70/13,432.74
  6. Step 6: Final answer
    x = 12,758.78

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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.