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Finding the Fourth Proportional to 22,877.39, 34,309.93 and 8,082.33

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Solution

The fourth proportional to 22,877.39, 34,309.93 and 8,082.33 is: 12,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.39 : 34,309.93 = 8,082.33 : x
  2. Step 2: Convert to fraction form
    22,877.39/34,309.93 = 8,082.33/x
  3. Step 3: Cross multiply
    22,877.39x = 34,309.93 × 8,082.33
  4. Step 4: Simplify right side
    22,877.39x = 277,304,235.82
  5. Step 5: Solve for x
    x = 277,304,235.82/22,877.39
  6. Step 6: Final answer
    x = 12,121.32

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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.