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Finding the Fourth Proportional to 20,196, 27,868.24 and 11,241.44

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Solution

The fourth proportional to 20,196, 27,868.24 and 11,241.44 is: 15,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 27,868.24 = 11,241.44 : x
  2. Step 2: Convert to fraction form
    20,196/27,868.24 = 11,241.44/x
  3. Step 3: Cross multiply
    20,196x = 27,868.24 × 11,241.44
  4. Step 4: Simplify right side
    20,196x = 313,279,147.87
  5. Step 5: Solve for x
    x = 313,279,147.87/20,196
  6. Step 6: Final answer
    x = 15,511.94

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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.