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Finding the Fourth Proportional to 12,400.29, 17,105.99 and 7,676.37

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Solution

The fourth proportional to 12,400.29, 17,105.99 and 7,676.37 is: 10,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.29 : 17,105.99 = 7,676.37 : x
  2. Step 2: Convert to fraction form
    12,400.29/17,105.99 = 7,676.37/x
  3. Step 3: Cross multiply
    12,400.29x = 17,105.99 × 7,676.37
  4. Step 4: Simplify right side
    12,400.29x = 131,311,870.07
  5. Step 5: Solve for x
    x = 131,311,870.07/12,400.29
  6. Step 6: Final answer
    x = 10,589.42

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