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Finding the Fourth Proportional to 12,267.25, 18,396.42 and 5,247.78

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Solution

The fourth proportional to 12,267.25, 18,396.42 and 5,247.78 is: 7,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.25 : 18,396.42 = 5,247.78 : x
  2. Step 2: Convert to fraction form
    12,267.25/18,396.42 = 5,247.78/x
  3. Step 3: Cross multiply
    12,267.25x = 18,396.42 × 5,247.78
  4. Step 4: Simplify right side
    12,267.25x = 96,540,338.71
  5. Step 5: Solve for x
    x = 96,540,338.71/12,267.25
  6. Step 6: Final answer
    x = 7,869.76

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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.