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Finding the Fourth Proportional to 22,234.80, 33,361.92 and 11,844

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Solution

The fourth proportional to 22,234.80, 33,361.92 and 11,844 is: 17,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.80 : 33,361.92 = 11,844 : x
  2. Step 2: Convert to fraction form
    22,234.80/33,361.92 = 11,844/x
  3. Step 3: Cross multiply
    22,234.80x = 33,361.92 × 11,844
  4. Step 4: Simplify right side
    22,234.80x = 395,138,580.48
  5. Step 5: Solve for x
    x = 395,138,580.48/22,234.80
  6. Step 6: Final answer
    x = 17,771.18

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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.