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Finding the Fourth Proportional to 13,442.87, 20,164.23 and 3,447.57

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Solution

The fourth proportional to 13,442.87, 20,164.23 and 3,447.57 is: 5,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.87 : 20,164.23 = 3,447.57 : x
  2. Step 2: Convert to fraction form
    13,442.87/20,164.23 = 3,447.57/x
  3. Step 3: Cross multiply
    13,442.87x = 20,164.23 × 3,447.57
  4. Step 4: Simplify right side
    13,442.87x = 69,517,493.60
  5. Step 5: Solve for x
    x = 69,517,493.60/13,442.87
  6. Step 6: Final answer
    x = 5,171.33

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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.