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Finding the Fourth Proportional to 12,227.75, 18,342.77 and 3,794.32

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Solution

The fourth proportional to 12,227.75, 18,342.77 and 3,794.32 is: 5,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.75 : 18,342.77 = 3,794.32 : x
  2. Step 2: Convert to fraction form
    12,227.75/18,342.77 = 3,794.32/x
  3. Step 3: Cross multiply
    12,227.75x = 18,342.77 × 3,794.32
  4. Step 4: Simplify right side
    12,227.75x = 69,598,339.07
  5. Step 5: Solve for x
    x = 69,598,339.07/12,227.75
  6. Step 6: Final answer
    x = 5,691.84

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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.