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Finding the Fourth Proportional to 11,996.10, 17,992.50 and 3,231.54

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Solution

The fourth proportional to 11,996.10, 17,992.50 and 3,231.54 is: 4,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.10 : 17,992.50 = 3,231.54 : x
  2. Step 2: Convert to fraction form
    11,996.10/17,992.50 = 3,231.54/x
  3. Step 3: Cross multiply
    11,996.10x = 17,992.50 × 3,231.54
  4. Step 4: Simplify right side
    11,996.10x = 58,143,483.45
  5. Step 5: Solve for x
    x = 58,143,483.45/11,996.10
  6. Step 6: Final answer
    x = 4,846.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.