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Finding the Fourth Proportional to 13,191.80, 19,791.42 and 5,406.20

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Solution

The fourth proportional to 13,191.80, 19,791.42 and 5,406.20 is: 8,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.80 : 19,791.42 = 5,406.20 : x
  2. Step 2: Convert to fraction form
    13,191.80/19,791.42 = 5,406.20/x
  3. Step 3: Cross multiply
    13,191.80x = 19,791.42 × 5,406.20
  4. Step 4: Simplify right side
    13,191.80x = 106,996,374.80
  5. Step 5: Solve for x
    x = 106,996,374.80/13,191.80
  6. Step 6: Final answer
    x = 8,110.82

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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.