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Finding the Fourth Proportional to 20,123.85, 27,770.70 and 11,171.13

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Solution

The fourth proportional to 20,123.85, 27,770.70 and 11,171.13 is: 15,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.85 : 27,770.70 = 11,171.13 : x
  2. Step 2: Convert to fraction form
    20,123.85/27,770.70 = 11,171.13/x
  3. Step 3: Cross multiply
    20,123.85x = 27,770.70 × 11,171.13
  4. Step 4: Simplify right side
    20,123.85x = 310,230,099.89
  5. Step 5: Solve for x
    x = 310,230,099.89/20,123.85
  6. Step 6: Final answer
    x = 15,416.04

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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.