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Finding the Fourth Proportional to 22,182.85, 33,245.38 and 9,019.81

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Solution

The fourth proportional to 22,182.85, 33,245.38 and 9,019.81 is: 13,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.85 : 33,245.38 = 9,019.81 : x
  2. Step 2: Convert to fraction form
    22,182.85/33,245.38 = 9,019.81/x
  3. Step 3: Cross multiply
    22,182.85x = 33,245.38 × 9,019.81
  4. Step 4: Simplify right side
    22,182.85x = 299,867,010.98
  5. Step 5: Solve for x
    x = 299,867,010.98/22,182.85
  6. Step 6: Final answer
    x = 13,517.97

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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.