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Finding the Fourth Proportional to 11,836.80, 17,755.20 and 9,241.92

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Solution

The fourth proportional to 11,836.80, 17,755.20 and 9,241.92 is: 13,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.80 : 17,755.20 = 9,241.92 : x
  2. Step 2: Convert to fraction form
    11,836.80/17,755.20 = 9,241.92/x
  3. Step 3: Cross multiply
    11,836.80x = 17,755.20 × 9,241.92
  4. Step 4: Simplify right side
    11,836.80x = 164,092,137.98
  5. Step 5: Solve for x
    x = 164,092,137.98/11,836.80
  6. Step 6: Final answer
    x = 13,862.88

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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.