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Finding the Fourth Proportional to 22,323.11, 33,461.07 and 8,082.10

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Solution

The fourth proportional to 22,323.11, 33,461.07 and 8,082.10 is: 12,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.11 : 33,461.07 = 8,082.10 : x
  2. Step 2: Convert to fraction form
    22,323.11/33,461.07 = 8,082.10/x
  3. Step 3: Cross multiply
    22,323.11x = 33,461.07 × 8,082.10
  4. Step 4: Simplify right side
    22,323.11x = 270,435,713.85
  5. Step 5: Solve for x
    x = 270,435,713.85/22,323.11
  6. Step 6: Final answer
    x = 12,114.61

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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.