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Finding the Fourth Proportional to 22,415.67, 33,623.46 and 6,833.25

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Solution

The fourth proportional to 22,415.67, 33,623.46 and 6,833.25 is: 10,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.67 : 33,623.46 = 6,833.25 : x
  2. Step 2: Convert to fraction form
    22,415.67/33,623.46 = 6,833.25/x
  3. Step 3: Cross multiply
    22,415.67x = 33,623.46 × 6,833.25
  4. Step 4: Simplify right side
    22,415.67x = 229,757,508.05
  5. Step 5: Solve for x
    x = 229,757,508.05/22,415.67
  6. Step 6: Final answer
    x = 10,249.86

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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.