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Finding the Fourth Proportional to 20,195.20, 27,868.90 and 11,242.50

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Solution

The fourth proportional to 20,195.20, 27,868.90 and 11,242.50 is: 15,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.20 : 27,868.90 = 11,242.50 : x
  2. Step 2: Convert to fraction form
    20,195.20/27,868.90 = 11,242.50/x
  3. Step 3: Cross multiply
    20,195.20x = 27,868.90 × 11,242.50
  4. Step 4: Simplify right side
    20,195.20x = 313,316,108.25
  5. Step 5: Solve for x
    x = 313,316,108.25/20,195.20
  6. Step 6: Final answer
    x = 15,514.39

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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.