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Finding the Fourth Proportional to 17,651.79, 26,468.37 and 7,786.40

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Solution

The fourth proportional to 17,651.79, 26,468.37 and 7,786.40 is: 11,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.79 : 26,468.37 = 7,786.40 : x
  2. Step 2: Convert to fraction form
    17,651.79/26,468.37 = 7,786.40/x
  3. Step 3: Cross multiply
    17,651.79x = 26,468.37 × 7,786.40
  4. Step 4: Simplify right side
    17,651.79x = 206,093,183.83
  5. Step 5: Solve for x
    x = 206,093,183.83/17,651.79
  6. Step 6: Final answer
    x = 11,675.48

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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.