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Finding the Fourth Proportional to 13,791.98, 20,687.97 and 9,640.09

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Solution

The fourth proportional to 13,791.98, 20,687.97 and 9,640.09 is: 14,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.98 : 20,687.97 = 9,640.09 : x
  2. Step 2: Convert to fraction form
    13,791.98/20,687.97 = 9,640.09/x
  3. Step 3: Cross multiply
    13,791.98x = 20,687.97 × 9,640.09
  4. Step 4: Simplify right side
    13,791.98x = 199,433,954.73
  5. Step 5: Solve for x
    x = 199,433,954.73/13,791.98
  6. Step 6: Final answer
    x = 14,460.14

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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.