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Finding the Fourth Proportional to 13,843.25, 19,105.08 and 8,179.82

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Solution

The fourth proportional to 13,843.25, 19,105.08 and 8,179.82 is: 11,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.25 : 19,105.08 = 8,179.82 : x
  2. Step 2: Convert to fraction form
    13,843.25/19,105.08 = 8,179.82/x
  3. Step 3: Cross multiply
    13,843.25x = 19,105.08 × 8,179.82
  4. Step 4: Simplify right side
    13,843.25x = 156,276,163.25
  5. Step 5: Solve for x
    x = 156,276,163.25/13,843.25
  6. Step 6: Final answer
    x = 11,288.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.