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Finding the Fourth Proportional to 13,675.96, 20,517.40 and 3,815.23

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Solution

The fourth proportional to 13,675.96, 20,517.40 and 3,815.23 is: 5,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.96 : 20,517.40 = 3,815.23 : x
  2. Step 2: Convert to fraction form
    13,675.96/20,517.40 = 3,815.23/x
  3. Step 3: Cross multiply
    13,675.96x = 20,517.40 × 3,815.23
  4. Step 4: Simplify right side
    13,675.96x = 78,278,600.00
  5. Step 5: Solve for x
    x = 78,278,600.00/13,675.96
  6. Step 6: Final answer
    x = 5,723.81

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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.