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Finding the Fourth Proportional to 12,098.05, 18,149.21 and 5,524.90

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Solution

The fourth proportional to 12,098.05, 18,149.21 and 5,524.90 is: 8,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.05 : 18,149.21 = 5,524.90 : x
  2. Step 2: Convert to fraction form
    12,098.05/18,149.21 = 5,524.90/x
  3. Step 3: Cross multiply
    12,098.05x = 18,149.21 × 5,524.90
  4. Step 4: Simplify right side
    12,098.05x = 100,272,570.33
  5. Step 5: Solve for x
    x = 100,272,570.33/12,098.05
  6. Step 6: Final answer
    x = 8,288.33

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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.