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Finding the Fourth Proportional to 27,431.70, 41,164.74 and 10,791.26

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Solution

The fourth proportional to 27,431.70, 41,164.74 and 10,791.26 is: 16,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.70 : 41,164.74 = 10,791.26 : x
  2. Step 2: Convert to fraction form
    27,431.70/41,164.74 = 10,791.26/x
  3. Step 3: Cross multiply
    27,431.70x = 41,164.74 × 10,791.26
  4. Step 4: Simplify right side
    27,431.70x = 444,219,360.72
  5. Step 5: Solve for x
    x = 444,219,360.72/27,431.70
  6. Step 6: Final answer
    x = 16,193.65

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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.