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Finding the Fourth Proportional to 13,912.68, 20,874.15 and 6,519.54

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Solution

The fourth proportional to 13,912.68, 20,874.15 and 6,519.54 is: 9,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.68 : 20,874.15 = 6,519.54 : x
  2. Step 2: Convert to fraction form
    13,912.68/20,874.15 = 6,519.54/x
  3. Step 3: Cross multiply
    13,912.68x = 20,874.15 × 6,519.54
  4. Step 4: Simplify right side
    13,912.68x = 136,089,855.89
  5. Step 5: Solve for x
    x = 136,089,855.89/13,912.68
  6. Step 6: Final answer
    x = 9,781.71

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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.