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Finding the Fourth Proportional to 20,123.70, 27,769.40 and 11,171.20

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Solution

The fourth proportional to 20,123.70, 27,769.40 and 11,171.20 is: 15,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.70 : 27,769.40 = 11,171.20 : x
  2. Step 2: Convert to fraction form
    20,123.70/27,769.40 = 11,171.20/x
  3. Step 3: Cross multiply
    20,123.70x = 27,769.40 × 11,171.20
  4. Step 4: Simplify right side
    20,123.70x = 310,217,521.28
  5. Step 5: Solve for x
    x = 310,217,521.28/20,123.70
  6. Step 6: Final answer
    x = 15,415.53

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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.