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Finding the Fourth Proportional to 13,969.35, 19,272.24 and 7,997.82

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Solution

The fourth proportional to 13,969.35, 19,272.24 and 7,997.82 is: 11,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.35 : 19,272.24 = 7,997.82 : x
  2. Step 2: Convert to fraction form
    13,969.35/19,272.24 = 7,997.82/x
  3. Step 3: Cross multiply
    13,969.35x = 19,272.24 × 7,997.82
  4. Step 4: Simplify right side
    13,969.35x = 154,135,906.52
  5. Step 5: Solve for x
    x = 154,135,906.52/13,969.35
  6. Step 6: Final answer
    x = 11,033.86

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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.