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Finding the Fourth Proportional to 22,407, 33,614.14 and 6,821

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Solution

The fourth proportional to 22,407, 33,614.14 and 6,821 is: 10,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407 : 33,614.14 = 6,821 : x
  2. Step 2: Convert to fraction form
    22,407/33,614.14 = 6,821/x
  3. Step 3: Cross multiply
    22,407x = 33,614.14 × 6,821
  4. Step 4: Simplify right side
    22,407x = 229,282,048.94
  5. Step 5: Solve for x
    x = 229,282,048.94/22,407
  6. Step 6: Final answer
    x = 10,232.61

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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.