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Finding the Fourth Proportional to 22,204.21, 33,305.84 and 7,211.31

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Solution

The fourth proportional to 22,204.21, 33,305.84 and 7,211.31 is: 10,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.21 : 33,305.84 = 7,211.31 : x
  2. Step 2: Convert to fraction form
    22,204.21/33,305.84 = 7,211.31/x
  3. Step 3: Cross multiply
    22,204.21x = 33,305.84 × 7,211.31
  4. Step 4: Simplify right side
    22,204.21x = 240,178,737.05
  5. Step 5: Solve for x
    x = 240,178,737.05/22,204.21
  6. Step 6: Final answer
    x = 10,816.81

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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.