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Finding the Fourth Proportional to 20,193.64, 27,868.04 and 11,240.57

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Solution

The fourth proportional to 20,193.64, 27,868.04 and 11,240.57 is: 15,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.64 : 27,868.04 = 11,240.57 : x
  2. Step 2: Convert to fraction form
    20,193.64/27,868.04 = 11,240.57/x
  3. Step 3: Cross multiply
    20,193.64x = 27,868.04 × 11,240.57
  4. Step 4: Simplify right side
    20,193.64x = 313,252,654.38
  5. Step 5: Solve for x
    x = 313,252,654.38/20,193.64
  6. Step 6: Final answer
    x = 15,512.44

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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.