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Finding the Fourth Proportional to 13,791.89, 20,682.34 and 7,223.60

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Solution

The fourth proportional to 13,791.89, 20,682.34 and 7,223.60 is: 10,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.89 : 20,682.34 = 7,223.60 : x
  2. Step 2: Convert to fraction form
    13,791.89/20,682.34 = 7,223.60/x
  3. Step 3: Cross multiply
    13,791.89x = 20,682.34 × 7,223.60
  4. Step 4: Simplify right side
    13,791.89x = 149,400,951.22
  5. Step 5: Solve for x
    x = 149,400,951.22/13,791.89
  6. Step 6: Final answer
    x = 10,832.52

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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.