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Finding the Fourth Proportional to 22,864.56, 34,300.94 and 8,082.06

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Solution

The fourth proportional to 22,864.56, 34,300.94 and 8,082.06 is: 12,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.56 : 34,300.94 = 8,082.06 : x
  2. Step 2: Convert to fraction form
    22,864.56/34,300.94 = 8,082.06/x
  3. Step 3: Cross multiply
    22,864.56x = 34,300.94 × 8,082.06
  4. Step 4: Simplify right side
    22,864.56x = 277,222,214.73
  5. Step 5: Solve for x
    x = 277,222,214.73/22,864.56
  6. Step 6: Final answer
    x = 12,124.54

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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.