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Finding the Fourth Proportional to 12,097.05, 18,147.71 and 5,523.90

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Solution

The fourth proportional to 12,097.05, 18,147.71 and 5,523.90 is: 8,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.05 : 18,147.71 = 5,523.90 : x
  2. Step 2: Convert to fraction form
    12,097.05/18,147.71 = 5,523.90/x
  3. Step 3: Cross multiply
    12,097.05x = 18,147.71 × 5,523.90
  4. Step 4: Simplify right side
    12,097.05x = 100,246,135.27
  5. Step 5: Solve for x
    x = 100,246,135.27/12,097.05
  6. Step 6: Final answer
    x = 8,286.82

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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.