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Finding the Fourth Proportional to 12,642.30, 18,936.09 and 8,246.42

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Solution

The fourth proportional to 12,642.30, 18,936.09 and 8,246.42 is: 12,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.30 : 18,936.09 = 8,246.42 : x
  2. Step 2: Convert to fraction form
    12,642.30/18,936.09 = 8,246.42/x
  3. Step 3: Cross multiply
    12,642.30x = 18,936.09 × 8,246.42
  4. Step 4: Simplify right side
    12,642.30x = 156,154,951.30
  5. Step 5: Solve for x
    x = 156,154,951.30/12,642.30
  6. Step 6: Final answer
    x = 12,351.78

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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.