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Finding the Fourth Proportional to 11,749.52, 17,713.22 and 11,114.48

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Solution

The fourth proportional to 11,749.52, 17,713.22 and 11,114.48 is: 16,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.52 : 17,713.22 = 11,114.48 : x
  2. Step 2: Convert to fraction form
    11,749.52/17,713.22 = 11,114.48/x
  3. Step 3: Cross multiply
    11,749.52x = 17,713.22 × 11,114.48
  4. Step 4: Simplify right side
    11,749.52x = 196,873,229.43
  5. Step 5: Solve for x
    x = 196,873,229.43/11,749.52
  6. Step 6: Final answer
    x = 16,755.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.