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Finding the Fourth Proportional to 13,832.41, 20,744.18 and 4,470.43

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Solution

The fourth proportional to 13,832.41, 20,744.18 and 4,470.43 is: 6,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.41 : 20,744.18 = 4,470.43 : x
  2. Step 2: Convert to fraction form
    13,832.41/20,744.18 = 4,470.43/x
  3. Step 3: Cross multiply
    13,832.41x = 20,744.18 × 4,470.43
  4. Step 4: Simplify right side
    13,832.41x = 92,735,404.60
  5. Step 5: Solve for x
    x = 92,735,404.60/13,832.41
  6. Step 6: Final answer
    x = 6,704.21

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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.