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Finding the Fourth Proportional to 11,227.26, 16,769.80 and 8,736.14

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Solution

The fourth proportional to 11,227.26, 16,769.80 and 8,736.14 is: 13,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.26 : 16,769.80 = 8,736.14 : x
  2. Step 2: Convert to fraction form
    11,227.26/16,769.80 = 8,736.14/x
  3. Step 3: Cross multiply
    11,227.26x = 16,769.80 × 8,736.14
  4. Step 4: Simplify right side
    11,227.26x = 146,503,320.57
  5. Step 5: Solve for x
    x = 146,503,320.57/11,227.26
  6. Step 6: Final answer
    x = 13,048.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.