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Finding the Fourth Proportional to 13,677.81, 20,517.72 and 4,912.80

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Solution

The fourth proportional to 13,677.81, 20,517.72 and 4,912.80 is: 7,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.81 : 20,517.72 = 4,912.80 : x
  2. Step 2: Convert to fraction form
    13,677.81/20,517.72 = 4,912.80/x
  3. Step 3: Cross multiply
    13,677.81x = 20,517.72 × 4,912.80
  4. Step 4: Simplify right side
    13,677.81x = 100,799,454.82
  5. Step 5: Solve for x
    x = 100,799,454.82/13,677.81
  6. Step 6: Final answer
    x = 7,369.56

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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.