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Finding the Fourth Proportional to 20,642.78, 28,493.46 and 13,190.78

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Solution

The fourth proportional to 20,642.78, 28,493.46 and 13,190.78 is: 18,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.78 : 28,493.46 = 13,190.78 : x
  2. Step 2: Convert to fraction form
    20,642.78/28,493.46 = 13,190.78/x
  3. Step 3: Cross multiply
    20,642.78x = 28,493.46 × 13,190.78
  4. Step 4: Simplify right side
    20,642.78x = 375,850,962.30
  5. Step 5: Solve for x
    x = 375,850,962.30/20,642.78
  6. Step 6: Final answer
    x = 18,207.38

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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.