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Finding the Fourth Proportional to 11,658, 17,487.60 and 11,067.48

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Solution

The fourth proportional to 11,658, 17,487.60 and 11,067.48 is: 16,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658 : 17,487.60 = 11,067.48 : x
  2. Step 2: Convert to fraction form
    11,658/17,487.60 = 11,067.48/x
  3. Step 3: Cross multiply
    11,658x = 17,487.60 × 11,067.48
  4. Step 4: Simplify right side
    11,658x = 193,543,663.25
  5. Step 5: Solve for x
    x = 193,543,663.25/11,658
  6. Step 6: Final answer
    x = 16,601.79

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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.