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Finding the Fourth Proportional to 22,249.65, 33,369.21 and 6,450.50

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Solution

The fourth proportional to 22,249.65, 33,369.21 and 6,450.50 is: 9,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.65 : 33,369.21 = 6,450.50 : x
  2. Step 2: Convert to fraction form
    22,249.65/33,369.21 = 6,450.50/x
  3. Step 3: Cross multiply
    22,249.65x = 33,369.21 × 6,450.50
  4. Step 4: Simplify right side
    22,249.65x = 215,247,922.26
  5. Step 5: Solve for x
    x = 215,247,922.26/22,249.65
  6. Step 6: Final answer
    x = 9,674.22

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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.