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Finding the Fourth Proportional to 13,851.87, 20,766.24 and 6,452.52

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Solution

The fourth proportional to 13,851.87, 20,766.24 and 6,452.52 is: 9,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.87 : 20,766.24 = 6,452.52 : x
  2. Step 2: Convert to fraction form
    13,851.87/20,766.24 = 6,452.52/x
  3. Step 3: Cross multiply
    13,851.87x = 20,766.24 × 6,452.52
  4. Step 4: Simplify right side
    13,851.87x = 133,994,578.92
  5. Step 5: Solve for x
    x = 133,994,578.92/13,851.87
  6. Step 6: Final answer
    x = 9,673.39

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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.