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Finding the Fourth Proportional to 12,405.38, 18,608.16 and 3,640.42

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Solution

The fourth proportional to 12,405.38, 18,608.16 and 3,640.42 is: 5,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.38 : 18,608.16 = 3,640.42 : x
  2. Step 2: Convert to fraction form
    12,405.38/18,608.16 = 3,640.42/x
  3. Step 3: Cross multiply
    12,405.38x = 18,608.16 × 3,640.42
  4. Step 4: Simplify right side
    12,405.38x = 67,741,517.83
  5. Step 5: Solve for x
    x = 67,741,517.83/12,405.38
  6. Step 6: Final answer
    x = 5,460.66

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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.