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Finding the Fourth Proportional to 22,481.88, 33,727.77 and 6,688.14

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Solution

The fourth proportional to 22,481.88, 33,727.77 and 6,688.14 is: 10,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.88 : 33,727.77 = 6,688.14 : x
  2. Step 2: Convert to fraction form
    22,481.88/33,727.77 = 6,688.14/x
  3. Step 3: Cross multiply
    22,481.88x = 33,727.77 × 6,688.14
  4. Step 4: Simplify right side
    22,481.88x = 225,576,047.65
  5. Step 5: Solve for x
    x = 225,576,047.65/22,481.88
  6. Step 6: Final answer
    x = 10,033.68

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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.