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Finding the Fourth Proportional to 16,769.05, 23,140.17 and 9,215.22

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Solution

The fourth proportional to 16,769.05, 23,140.17 and 9,215.22 is: 12,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.05 : 23,140.17 = 9,215.22 : x
  2. Step 2: Convert to fraction form
    16,769.05/23,140.17 = 9,215.22/x
  3. Step 3: Cross multiply
    16,769.05x = 23,140.17 × 9,215.22
  4. Step 4: Simplify right side
    16,769.05x = 213,241,694.49
  5. Step 5: Solve for x
    x = 213,241,694.49/16,769.05
  6. Step 6: Final answer
    x = 12,716.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.