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Finding the Fourth Proportional to 11,960.10, 17,936.50 and 9,614.54

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Solution

The fourth proportional to 11,960.10, 17,936.50 and 9,614.54 is: 14,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.10 : 17,936.50 = 9,614.54 : x
  2. Step 2: Convert to fraction form
    11,960.10/17,936.50 = 9,614.54/x
  3. Step 3: Cross multiply
    11,960.10x = 17,936.50 × 9,614.54
  4. Step 4: Simplify right side
    11,960.10x = 172,451,196.71
  5. Step 5: Solve for x
    x = 172,451,196.71/11,960.10
  6. Step 6: Final answer
    x = 14,418.88

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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.