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Finding the Fourth Proportional to 11,861.21, 17,791.79 and 11,139.50

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Solution

The fourth proportional to 11,861.21, 17,791.79 and 11,139.50 is: 16,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.21 : 17,791.79 = 11,139.50 : x
  2. Step 2: Convert to fraction form
    11,861.21/17,791.79 = 11,139.50/x
  3. Step 3: Cross multiply
    11,861.21x = 17,791.79 × 11,139.50
  4. Step 4: Simplify right side
    11,861.21x = 198,191,500.05
  5. Step 5: Solve for x
    x = 198,191,500.05/11,861.21
  6. Step 6: Final answer
    x = 16,709.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.