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Finding the Fourth Proportional to 22,171.57, 33,262.82 and 6,589.19

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Solution

The fourth proportional to 22,171.57, 33,262.82 and 6,589.19 is: 9,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.57 : 33,262.82 = 6,589.19 : x
  2. Step 2: Convert to fraction form
    22,171.57/33,262.82 = 6,589.19/x
  3. Step 3: Cross multiply
    22,171.57x = 33,262.82 × 6,589.19
  4. Step 4: Simplify right side
    22,171.57x = 219,175,007.97
  5. Step 5: Solve for x
    x = 219,175,007.97/22,171.57
  6. Step 6: Final answer
    x = 9,885.41

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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.