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Finding the Fourth Proportional to 12,382.61, 18,578.78 and 5,452.25

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Solution

The fourth proportional to 12,382.61, 18,578.78 and 5,452.25 is: 8,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.61 : 18,578.78 = 5,452.25 : x
  2. Step 2: Convert to fraction form
    12,382.61/18,578.78 = 5,452.25/x
  3. Step 3: Cross multiply
    12,382.61x = 18,578.78 × 5,452.25
  4. Step 4: Simplify right side
    12,382.61x = 101,296,153.26
  5. Step 5: Solve for x
    x = 101,296,153.26/12,382.61
  6. Step 6: Final answer
    x = 8,180.52

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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.