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Finding the Fourth Proportional to 22,321.78, 33,481.86 and 6,739

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Solution

The fourth proportional to 22,321.78, 33,481.86 and 6,739 is: 10,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.78 : 33,481.86 = 6,739 : x
  2. Step 2: Convert to fraction form
    22,321.78/33,481.86 = 6,739/x
  3. Step 3: Cross multiply
    22,321.78x = 33,481.86 × 6,739
  4. Step 4: Simplify right side
    22,321.78x = 225,634,254.54
  5. Step 5: Solve for x
    x = 225,634,254.54/22,321.78
  6. Step 6: Final answer
    x = 10,108.26

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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.