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Finding the Fourth Proportional to 20,195.19, 27,868.88 and 11,242.49

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Solution

The fourth proportional to 20,195.19, 27,868.88 and 11,242.49 is: 15,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.19 : 27,868.88 = 11,242.49 : x
  2. Step 2: Convert to fraction form
    20,195.19/27,868.88 = 11,242.49/x
  3. Step 3: Cross multiply
    20,195.19x = 27,868.88 × 11,242.49
  4. Step 4: Simplify right side
    20,195.19x = 313,315,493.47
  5. Step 5: Solve for x
    x = 313,315,493.47/20,195.19
  6. Step 6: Final answer
    x = 15,514.36

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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.