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Finding the Fourth Proportional to 12,296.62, 18,452.25 and 4,505.98

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Solution

The fourth proportional to 12,296.62, 18,452.25 and 4,505.98 is: 6,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.62 : 18,452.25 = 4,505.98 : x
  2. Step 2: Convert to fraction form
    12,296.62/18,452.25 = 4,505.98/x
  3. Step 3: Cross multiply
    12,296.62x = 18,452.25 × 4,505.98
  4. Step 4: Simplify right side
    12,296.62x = 83,145,469.46
  5. Step 5: Solve for x
    x = 83,145,469.46/12,296.62
  6. Step 6: Final answer
    x = 6,761.65

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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.