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Finding the Fourth Proportional to 29,891.44, 41,213.64 and 18,694

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Solution

The fourth proportional to 29,891.44, 41,213.64 and 18,694 is: 25,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891.44 : 41,213.64 = 18,694 : x
  2. Step 2: Convert to fraction form
    29,891.44/41,213.64 = 18,694/x
  3. Step 3: Cross multiply
    29,891.44x = 41,213.64 × 18,694
  4. Step 4: Simplify right side
    29,891.44x = 770,447,786.16
  5. Step 5: Solve for x
    x = 770,447,786.16/29,891.44
  6. Step 6: Final answer
    x = 25,774.86

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Why These Related Problems?

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