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Finding the Fourth Proportional to 12,241.44, 16,893.36 and 7,524

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Solution

The fourth proportional to 12,241.44, 16,893.36 and 7,524 is: 10,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.44 : 16,893.36 = 7,524 : x
  2. Step 2: Convert to fraction form
    12,241.44/16,893.36 = 7,524/x
  3. Step 3: Cross multiply
    12,241.44x = 16,893.36 × 7,524
  4. Step 4: Simplify right side
    12,241.44x = 127,105,640.64
  5. Step 5: Solve for x
    x = 127,105,640.64/12,241.44
  6. Step 6: Final answer
    x = 10,383.23

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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.