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Finding the Fourth Proportional to 22,942.85, 34,426.11 and 9,791.69

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Solution

The fourth proportional to 22,942.85, 34,426.11 and 9,791.69 is: 14,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.85 : 34,426.11 = 9,791.69 : x
  2. Step 2: Convert to fraction form
    22,942.85/34,426.11 = 9,791.69/x
  3. Step 3: Cross multiply
    22,942.85x = 34,426.11 × 9,791.69
  4. Step 4: Simplify right side
    22,942.85x = 337,089,661.61
  5. Step 5: Solve for x
    x = 337,089,661.61/22,942.85
  6. Step 6: Final answer
    x = 14,692.58

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