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Finding the Fourth Proportional to 11,447.52, 17,149.36 and 7,731.44

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Solution

The fourth proportional to 11,447.52, 17,149.36 and 7,731.44 is: 11,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.52 : 17,149.36 = 7,731.44 : x
  2. Step 2: Convert to fraction form
    11,447.52/17,149.36 = 7,731.44/x
  3. Step 3: Cross multiply
    11,447.52x = 17,149.36 × 7,731.44
  4. Step 4: Simplify right side
    11,447.52x = 132,589,247.88
  5. Step 5: Solve for x
    x = 132,589,247.88/11,447.52
  6. Step 6: Final answer
    x = 11,582.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.