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Finding the Fourth Proportional to 12,286.82, 18,432.84 and 3,967.30

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Solution

The fourth proportional to 12,286.82, 18,432.84 and 3,967.30 is: 5,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.82 : 18,432.84 = 3,967.30 : x
  2. Step 2: Convert to fraction form
    12,286.82/18,432.84 = 3,967.30/x
  3. Step 3: Cross multiply
    12,286.82x = 18,432.84 × 3,967.30
  4. Step 4: Simplify right side
    12,286.82x = 73,128,606.13
  5. Step 5: Solve for x
    x = 73,128,606.13/12,286.82
  6. Step 6: Final answer
    x = 5,951.79

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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.