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Finding the Fourth Proportional to 12,226.57, 18,339.71 and 3,906.47

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Solution

The fourth proportional to 12,226.57, 18,339.71 and 3,906.47 is: 5,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.57 : 18,339.71 = 3,906.47 : x
  2. Step 2: Convert to fraction form
    12,226.57/18,339.71 = 3,906.47/x
  3. Step 3: Cross multiply
    12,226.57x = 18,339.71 × 3,906.47
  4. Step 4: Simplify right side
    12,226.57x = 71,643,553.24
  5. Step 5: Solve for x
    x = 71,643,553.24/12,226.57
  6. Step 6: Final answer
    x = 5,859.66

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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.