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Finding the Fourth Proportional to 22,624.20, 33,936.45 and 6,829.29

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Solution

The fourth proportional to 22,624.20, 33,936.45 and 6,829.29 is: 10,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.20 : 33,936.45 = 6,829.29 : x
  2. Step 2: Convert to fraction form
    22,624.20/33,936.45 = 6,829.29/x
  3. Step 3: Cross multiply
    22,624.20x = 33,936.45 × 6,829.29
  4. Step 4: Simplify right side
    22,624.20x = 231,761,858.62
  5. Step 5: Solve for x
    x = 231,761,858.62/22,624.20
  6. Step 6: Final answer
    x = 10,243.98

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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.