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Finding the Fourth Proportional to 22,481.84, 33,716.94 and 6,683.12

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Solution

The fourth proportional to 22,481.84, 33,716.94 and 6,683.12 is: 10,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.84 : 33,716.94 = 6,683.12 : x
  2. Step 2: Convert to fraction form
    22,481.84/33,716.94 = 6,683.12/x
  3. Step 3: Cross multiply
    22,481.84x = 33,716.94 × 6,683.12
  4. Step 4: Simplify right side
    22,481.84x = 225,334,356.05
  5. Step 5: Solve for x
    x = 225,334,356.05/22,481.84
  6. Step 6: Final answer
    x = 10,022.95

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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.