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Finding the Fourth Proportional to 22,578.24, 33,872.07 and 6,782.64

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Solution

The fourth proportional to 22,578.24, 33,872.07 and 6,782.64 is: 10,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.24 : 33,872.07 = 6,782.64 : x
  2. Step 2: Convert to fraction form
    22,578.24/33,872.07 = 6,782.64/x
  3. Step 3: Cross multiply
    22,578.24x = 33,872.07 × 6,782.64
  4. Step 4: Simplify right side
    22,578.24x = 229,741,955.28
  5. Step 5: Solve for x
    x = 229,741,955.28/22,578.24
  6. Step 6: Final answer
    x = 10,175.37

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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.