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Finding the Fourth Proportional to 20,163.98, 27,826.94 and 11,211.86

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Solution

The fourth proportional to 20,163.98, 27,826.94 and 11,211.86 is: 15,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.98 : 27,826.94 = 11,211.86 : x
  2. Step 2: Convert to fraction form
    20,163.98/27,826.94 = 11,211.86/x
  3. Step 3: Cross multiply
    20,163.98x = 27,826.94 × 11,211.86
  4. Step 4: Simplify right side
    20,163.98x = 311,991,699.45
  5. Step 5: Solve for x
    x = 311,991,699.45/20,163.98
  6. Step 6: Final answer
    x = 15,472.72

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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.