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Finding the Fourth Proportional to 12,181.36, 18,269.97 and 3,414.25

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Solution

The fourth proportional to 12,181.36, 18,269.97 and 3,414.25 is: 5,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.36 : 18,269.97 = 3,414.25 : x
  2. Step 2: Convert to fraction form
    12,181.36/18,269.97 = 3,414.25/x
  3. Step 3: Cross multiply
    12,181.36x = 18,269.97 × 3,414.25
  4. Step 4: Simplify right side
    12,181.36x = 62,378,245.07
  5. Step 5: Solve for x
    x = 62,378,245.07/12,181.36
  6. Step 6: Final answer
    x = 5,120.79

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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.