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Finding the Fourth Proportional to 20,122.78, 27,770.34 and 11,170.41

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Solution

The fourth proportional to 20,122.78, 27,770.34 and 11,170.41 is: 15,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.78 : 27,770.34 = 11,170.41 : x
  2. Step 2: Convert to fraction form
    20,122.78/27,770.34 = 11,170.41/x
  3. Step 3: Cross multiply
    20,122.78x = 27,770.34 × 11,170.41
  4. Step 4: Simplify right side
    20,122.78x = 310,206,021.39
  5. Step 5: Solve for x
    x = 310,206,021.39/20,122.78
  6. Step 6: Final answer
    x = 15,415.66

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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.