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Finding the Fourth Proportional to 20,193.98, 27,868.05 and 11,242.19

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Solution

The fourth proportional to 20,193.98, 27,868.05 and 11,242.19 is: 15,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.98 : 27,868.05 = 11,242.19 : x
  2. Step 2: Convert to fraction form
    20,193.98/27,868.05 = 11,242.19/x
  3. Step 3: Cross multiply
    20,193.98x = 27,868.05 × 11,242.19
  4. Step 4: Simplify right side
    20,193.98x = 313,297,982.70
  5. Step 5: Solve for x
    x = 313,297,982.70/20,193.98
  6. Step 6: Final answer
    x = 15,514.43

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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.