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Finding the Fourth Proportional to 27,967, 41,936.82 and 13,163.44

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Solution

The fourth proportional to 27,967, 41,936.82 and 13,163.44 is: 19,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967 : 41,936.82 = 13,163.44 : x
  2. Step 2: Convert to fraction form
    27,967/41,936.82 = 13,163.44/x
  3. Step 3: Cross multiply
    27,967x = 41,936.82 × 13,163.44
  4. Step 4: Simplify right side
    27,967x = 552,032,813.86
  5. Step 5: Solve for x
    x = 552,032,813.86/27,967
  6. Step 6: Final answer
    x = 19,738.72

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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.