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Finding the Fourth Proportional to 22,163.49, 30,585.87 and 13,209.48

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Solution

The fourth proportional to 22,163.49, 30,585.87 and 13,209.48 is: 18,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.49 : 30,585.87 = 13,209.48 : x
  2. Step 2: Convert to fraction form
    22,163.49/30,585.87 = 13,209.48/x
  3. Step 3: Cross multiply
    22,163.49x = 30,585.87 × 13,209.48
  4. Step 4: Simplify right side
    22,163.49x = 404,023,438.05
  5. Step 5: Solve for x
    x = 404,023,438.05/22,163.49
  6. Step 6: Final answer
    x = 18,229.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.