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Finding the Fourth Proportional to 15,855.65, 23,786.17 and 5,464.97

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Solution

The fourth proportional to 15,855.65, 23,786.17 and 5,464.97 is: 8,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.65 : 23,786.17 = 5,464.97 : x
  2. Step 2: Convert to fraction form
    15,855.65/23,786.17 = 5,464.97/x
  3. Step 3: Cross multiply
    15,855.65x = 23,786.17 × 5,464.97
  4. Step 4: Simplify right side
    15,855.65x = 129,990,692.81
  5. Step 5: Solve for x
    x = 129,990,692.81/15,855.65
  6. Step 6: Final answer
    x = 8,198.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.