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Finding the Fourth Proportional to 20,122.85, 27,769.32 and 11,170.13

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Solution

The fourth proportional to 20,122.85, 27,769.32 and 11,170.13 is: 15,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.85 : 27,769.32 = 11,170.13 : x
  2. Step 2: Convert to fraction form
    20,122.85/27,769.32 = 11,170.13/x
  3. Step 3: Cross multiply
    20,122.85x = 27,769.32 × 11,170.13
  4. Step 4: Simplify right side
    20,122.85x = 310,186,775.57
  5. Step 5: Solve for x
    x = 310,186,775.57/20,122.85
  6. Step 6: Final answer
    x = 15,414.66

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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.