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Finding the Fourth Proportional to 12,241.26, 16,894.38 and 7,273.26

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Solution

The fourth proportional to 12,241.26, 16,894.38 and 7,273.26 is: 10,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.26 : 16,894.38 = 7,273.26 : x
  2. Step 2: Convert to fraction form
    12,241.26/16,894.38 = 7,273.26/x
  3. Step 3: Cross multiply
    12,241.26x = 16,894.38 × 7,273.26
  4. Step 4: Simplify right side
    12,241.26x = 122,877,218.28
  5. Step 5: Solve for x
    x = 122,877,218.28/12,241.26
  6. Step 6: Final answer
    x = 10,037.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.