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Finding the Fourth Proportional to 22,033.82, 33,022.64 and 10,321.22

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Solution

The fourth proportional to 22,033.82, 33,022.64 and 10,321.22 is: 15,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.82 : 33,022.64 = 10,321.22 : x
  2. Step 2: Convert to fraction form
    22,033.82/33,022.64 = 10,321.22/x
  3. Step 3: Cross multiply
    22,033.82x = 33,022.64 × 10,321.22
  4. Step 4: Simplify right side
    22,033.82x = 340,833,793.11
  5. Step 5: Solve for x
    x = 340,833,793.11/22,033.82
  6. Step 6: Final answer
    x = 15,468.67

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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.