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Finding the Fourth Proportional to 13,212.80, 19,791.60 and 6,198.80

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Solution

The fourth proportional to 13,212.80, 19,791.60 and 6,198.80 is: 9,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.80 : 19,791.60 = 6,198.80 : x
  2. Step 2: Convert to fraction form
    13,212.80/19,791.60 = 6,198.80/x
  3. Step 3: Cross multiply
    13,212.80x = 19,791.60 × 6,198.80
  4. Step 4: Simplify right side
    13,212.80x = 122,684,170.08
  5. Step 5: Solve for x
    x = 122,684,170.08/13,212.80
  6. Step 6: Final answer
    x = 9,285.25

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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.