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Finding the Fourth Proportional to 20,230.26, 27,922.23 and 13,144.38

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Solution

The fourth proportional to 20,230.26, 27,922.23 and 13,144.38 is: 18,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.26 : 27,922.23 = 13,144.38 : x
  2. Step 2: Convert to fraction form
    20,230.26/27,922.23 = 13,144.38/x
  3. Step 3: Cross multiply
    20,230.26x = 27,922.23 × 13,144.38
  4. Step 4: Simplify right side
    20,230.26x = 367,020,401.57
  5. Step 5: Solve for x
    x = 367,020,401.57/20,230.26
  6. Step 6: Final answer
    x = 18,142.15

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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.