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Finding the Fourth Proportional to 22,171.82, 33,263.19 and 6,589.44

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Solution

The fourth proportional to 22,171.82, 33,263.19 and 6,589.44 is: 9,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.82 : 33,263.19 = 6,589.44 : x
  2. Step 2: Convert to fraction form
    22,171.82/33,263.19 = 6,589.44/x
  3. Step 3: Cross multiply
    22,171.82x = 33,263.19 × 6,589.44
  4. Step 4: Simplify right side
    22,171.82x = 219,185,794.71
  5. Step 5: Solve for x
    x = 219,185,794.71/22,171.82
  6. Step 6: Final answer
    x = 9,885.78

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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.