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Finding the Fourth Proportional to 20,164.68, 27,826.92 and 11,211.03

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Solution

The fourth proportional to 20,164.68, 27,826.92 and 11,211.03 is: 15,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.68 : 27,826.92 = 11,211.03 : x
  2. Step 2: Convert to fraction form
    20,164.68/27,826.92 = 11,211.03/x
  3. Step 3: Cross multiply
    20,164.68x = 27,826.92 × 11,211.03
  4. Step 4: Simplify right side
    20,164.68x = 311,968,434.93
  5. Step 5: Solve for x
    x = 311,968,434.93/20,164.68
  6. Step 6: Final answer
    x = 15,471.03

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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.