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Finding the Fourth Proportional to 22,367.24, 33,552 and 5,727.44

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Solution

The fourth proportional to 22,367.24, 33,552 and 5,727.44 is: 8,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.24 : 33,552 = 5,727.44 : x
  2. Step 2: Convert to fraction form
    22,367.24/33,552 = 5,727.44/x
  3. Step 3: Cross multiply
    22,367.24x = 33,552 × 5,727.44
  4. Step 4: Simplify right side
    22,367.24x = 192,167,066.88
  5. Step 5: Solve for x
    x = 192,167,066.88/22,367.24
  6. Step 6: Final answer
    x = 8,591.45

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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.