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Finding the Fourth Proportional to 22,363.20, 33,546.15 and 9,211.14

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Solution

The fourth proportional to 22,363.20, 33,546.15 and 9,211.14 is: 13,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363.20 : 33,546.15 = 9,211.14 : x
  2. Step 2: Convert to fraction form
    22,363.20/33,546.15 = 9,211.14/x
  3. Step 3: Cross multiply
    22,363.20x = 33,546.15 × 9,211.14
  4. Step 4: Simplify right side
    22,363.20x = 308,998,284.11
  5. Step 5: Solve for x
    x = 308,998,284.11/22,363.20
  6. Step 6: Final answer
    x = 13,817.27

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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.