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Finding the Fourth Proportional to 17,791.75, 26,692.25 and 5,311.78

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Solution

The fourth proportional to 17,791.75, 26,692.25 and 5,311.78 is: 7,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.75 : 26,692.25 = 5,311.78 : x
  2. Step 2: Convert to fraction form
    17,791.75/26,692.25 = 5,311.78/x
  3. Step 3: Cross multiply
    17,791.75x = 26,692.25 × 5,311.78
  4. Step 4: Simplify right side
    17,791.75x = 141,783,266.42
  5. Step 5: Solve for x
    x = 141,783,266.42/17,791.75
  6. Step 6: Final answer
    x = 7,969.05

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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.