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Finding the Fourth Proportional to 12,180.62, 18,268.50 and 3,415.62

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Solution

The fourth proportional to 12,180.62, 18,268.50 and 3,415.62 is: 5,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.62 : 18,268.50 = 3,415.62 : x
  2. Step 2: Convert to fraction form
    12,180.62/18,268.50 = 3,415.62/x
  3. Step 3: Cross multiply
    12,180.62x = 18,268.50 × 3,415.62
  4. Step 4: Simplify right side
    12,180.62x = 62,398,253.97
  5. Step 5: Solve for x
    x = 62,398,253.97/12,180.62
  6. Step 6: Final answer
    x = 5,122.75

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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.