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Finding the Fourth Proportional to 23,011.80, 34,517.70 and 8,227.80

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Solution

The fourth proportional to 23,011.80, 34,517.70 and 8,227.80 is: 12,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.80 : 34,517.70 = 8,227.80 : x
  2. Step 2: Convert to fraction form
    23,011.80/34,517.70 = 8,227.80/x
  3. Step 3: Cross multiply
    23,011.80x = 34,517.70 × 8,227.80
  4. Step 4: Simplify right side
    23,011.80x = 284,004,732.06
  5. Step 5: Solve for x
    x = 284,004,732.06/23,011.80
  6. Step 6: Final answer
    x = 12,341.70

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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.