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Finding the Fourth Proportional to 11,924.14, 17,874.04 and 5,348.56

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Solution

The fourth proportional to 11,924.14, 17,874.04 and 5,348.56 is: 8,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.14 : 17,874.04 = 5,348.56 : x
  2. Step 2: Convert to fraction form
    11,924.14/17,874.04 = 5,348.56/x
  3. Step 3: Cross multiply
    11,924.14x = 17,874.04 × 5,348.56
  4. Step 4: Simplify right side
    11,924.14x = 95,600,375.38
  5. Step 5: Solve for x
    x = 95,600,375.38/11,924.14
  6. Step 6: Final answer
    x = 8,017.38

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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.