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Finding the Fourth Proportional to 12,098.55, 18,146.79 and 5,524.22

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Solution

The fourth proportional to 12,098.55, 18,146.79 and 5,524.22 is: 8,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.55 : 18,146.79 = 5,524.22 : x
  2. Step 2: Convert to fraction form
    12,098.55/18,146.79 = 5,524.22/x
  3. Step 3: Cross multiply
    12,098.55x = 18,146.79 × 5,524.22
  4. Step 4: Simplify right side
    12,098.55x = 100,246,769.52
  5. Step 5: Solve for x
    x = 100,246,769.52/12,098.55
  6. Step 6: Final answer
    x = 8,285.85

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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.