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Finding the Fourth Proportional to 22,626.38, 31,227.46 and 13,201.22

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Solution

The fourth proportional to 22,626.38, 31,227.46 and 13,201.22 is: 18,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.38 : 31,227.46 = 13,201.22 : x
  2. Step 2: Convert to fraction form
    22,626.38/31,227.46 = 13,201.22/x
  3. Step 3: Cross multiply
    22,626.38x = 31,227.46 × 13,201.22
  4. Step 4: Simplify right side
    22,626.38x = 412,240,569.50
  5. Step 5: Solve for x
    x = 412,240,569.50/22,626.38
  6. Step 6: Final answer
    x = 18,219.47

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Why These Related Problems?

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