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Finding the Fourth Proportional to 13,446.47, 20,169.71 and 4,086.57

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Solution

The fourth proportional to 13,446.47, 20,169.71 and 4,086.57 is: 6,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.47 : 20,169.71 = 4,086.57 : x
  2. Step 2: Convert to fraction form
    13,446.47/20,169.71 = 4,086.57/x
  3. Step 3: Cross multiply
    13,446.47x = 20,169.71 × 4,086.57
  4. Step 4: Simplify right side
    13,446.47x = 82,424,888.87
  5. Step 5: Solve for x
    x = 82,424,888.87/13,446.47
  6. Step 6: Final answer
    x = 6,129.85

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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.