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Finding the Fourth Proportional to 12,418.38, 18,627.73 and 6,882.54

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Solution

The fourth proportional to 12,418.38, 18,627.73 and 6,882.54 is: 10,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.38 : 18,627.73 = 6,882.54 : x
  2. Step 2: Convert to fraction form
    12,418.38/18,627.73 = 6,882.54/x
  3. Step 3: Cross multiply
    12,418.38x = 18,627.73 × 6,882.54
  4. Step 4: Simplify right side
    12,418.38x = 128,206,079.63
  5. Step 5: Solve for x
    x = 128,206,079.63/12,418.38
  6. Step 6: Final answer
    x = 10,323.89

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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.