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Finding the Fourth Proportional to 22,876.44, 34,317.43 and 8,082.33

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Solution

The fourth proportional to 22,876.44, 34,317.43 and 8,082.33 is: 12,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.44 : 34,317.43 = 8,082.33 : x
  2. Step 2: Convert to fraction form
    22,876.44/34,317.43 = 8,082.33/x
  3. Step 3: Cross multiply
    22,876.44x = 34,317.43 × 8,082.33
  4. Step 4: Simplify right side
    22,876.44x = 277,364,794.01
  5. Step 5: Solve for x
    x = 277,364,794.01/22,876.44
  6. Step 6: Final answer
    x = 12,124.47

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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.