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Finding the Fourth Proportional to 20,163.78, 27,826.04 and 11,211.19

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Solution

The fourth proportional to 20,163.78, 27,826.04 and 11,211.19 is: 15,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.78 : 27,826.04 = 11,211.19 : x
  2. Step 2: Convert to fraction form
    20,163.78/27,826.04 = 11,211.19/x
  3. Step 3: Cross multiply
    20,163.78x = 27,826.04 × 11,211.19
  4. Step 4: Simplify right side
    20,163.78x = 311,962,979.85
  5. Step 5: Solve for x
    x = 311,962,979.85/20,163.78
  6. Step 6: Final answer
    x = 15,471.45

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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.