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Finding the Fourth Proportional to 17,231.25, 23,780.94 and 10,943.64

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Solution

The fourth proportional to 17,231.25, 23,780.94 and 10,943.64 is: 15,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.25 : 23,780.94 = 10,943.64 : x
  2. Step 2: Convert to fraction form
    17,231.25/23,780.94 = 10,943.64/x
  3. Step 3: Cross multiply
    17,231.25x = 23,780.94 × 10,943.64
  4. Step 4: Simplify right side
    17,231.25x = 260,250,046.22
  5. Step 5: Solve for x
    x = 260,250,046.22/17,231.25
  6. Step 6: Final answer
    x = 15,103.38

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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.