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Finding the Fourth Proportional to 13,677.52, 20,515.66 and 3,816.60

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Solution

The fourth proportional to 13,677.52, 20,515.66 and 3,816.60 is: 5,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.52 : 20,515.66 = 3,816.60 : x
  2. Step 2: Convert to fraction form
    13,677.52/20,515.66 = 3,816.60/x
  3. Step 3: Cross multiply
    13,677.52x = 20,515.66 × 3,816.60
  4. Step 4: Simplify right side
    13,677.52x = 78,300,067.96
  5. Step 5: Solve for x
    x = 78,300,067.96/13,677.52
  6. Step 6: Final answer
    x = 5,724.73

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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.