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Finding the Fourth Proportional to 16,189.65, 24,282.39 and 6,833.37

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Solution

The fourth proportional to 16,189.65, 24,282.39 and 6,833.37 is: 10,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.65 : 24,282.39 = 6,833.37 : x
  2. Step 2: Convert to fraction form
    16,189.65/24,282.39 = 6,833.37/x
  3. Step 3: Cross multiply
    16,189.65x = 24,282.39 × 6,833.37
  4. Step 4: Simplify right side
    16,189.65x = 165,930,555.35
  5. Step 5: Solve for x
    x = 165,930,555.35/16,189.65
  6. Step 6: Final answer
    x = 10,249.17

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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.