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Finding the Fourth Proportional to 11,995.44, 17,934 and 10,167

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Solution

The fourth proportional to 11,995.44, 17,934 and 10,167 is: 15,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.44 : 17,934 = 10,167 : x
  2. Step 2: Convert to fraction form
    11,995.44/17,934 = 10,167/x
  3. Step 3: Cross multiply
    11,995.44x = 17,934 × 10,167
  4. Step 4: Simplify right side
    11,995.44x = 182,334,978
  5. Step 5: Solve for x
    x = 182,334,978/11,995.44
  6. Step 6: Final answer
    x = 15,200.36

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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.