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Finding the Fourth Proportional to 17,189.44, 25,764.48 and 7,936

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Solution

The fourth proportional to 17,189.44, 25,764.48 and 7,936 is: 11,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.44 : 25,764.48 = 7,936 : x
  2. Step 2: Convert to fraction form
    17,189.44/25,764.48 = 7,936/x
  3. Step 3: Cross multiply
    17,189.44x = 25,764.48 × 7,936
  4. Step 4: Simplify right side
    17,189.44x = 204,466,913.28
  5. Step 5: Solve for x
    x = 204,466,913.28/17,189.44
  6. Step 6: Final answer
    x = 11,894.91

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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.