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Finding the Fourth Proportional to 22,644.12, 33,959.70 and 7,057.56

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Solution

The fourth proportional to 22,644.12, 33,959.70 and 7,057.56 is: 10,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.12 : 33,959.70 = 7,057.56 : x
  2. Step 2: Convert to fraction form
    22,644.12/33,959.70 = 7,057.56/x
  3. Step 3: Cross multiply
    22,644.12x = 33,959.70 × 7,057.56
  4. Step 4: Simplify right side
    22,644.12x = 239,672,620.33
  5. Step 5: Solve for x
    x = 239,672,620.33/22,644.12
  6. Step 6: Final answer
    x = 10,584.32

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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.