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Finding the Fourth Proportional to 11,960.25, 17,939.99 and 6,424.41

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Solution

The fourth proportional to 11,960.25, 17,939.99 and 6,424.41 is: 9,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.25 : 17,939.99 = 6,424.41 : x
  2. Step 2: Convert to fraction form
    11,960.25/17,939.99 = 6,424.41/x
  3. Step 3: Cross multiply
    11,960.25x = 17,939.99 × 6,424.41
  4. Step 4: Simplify right side
    11,960.25x = 115,253,819.03
  5. Step 5: Solve for x
    x = 115,253,819.03/11,960.25
  6. Step 6: Final answer
    x = 9,636.41

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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.