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Finding the Fourth Proportional to 16,642.26, 24,964.56 and 6,786.18

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Solution

The fourth proportional to 16,642.26, 24,964.56 and 6,786.18 is: 10,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.26 : 24,964.56 = 6,786.18 : x
  2. Step 2: Convert to fraction form
    16,642.26/24,964.56 = 6,786.18/x
  3. Step 3: Cross multiply
    16,642.26x = 24,964.56 × 6,786.18
  4. Step 4: Simplify right side
    16,642.26x = 169,413,997.78
  5. Step 5: Solve for x
    x = 169,413,997.78/16,642.26
  6. Step 6: Final answer
    x = 10,179.75

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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.