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Finding the Fourth Proportional to 22,483.43, 33,718.76 and 6,687.82

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Solution

The fourth proportional to 22,483.43, 33,718.76 and 6,687.82 is: 10,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.43 : 33,718.76 = 6,687.82 : x
  2. Step 2: Convert to fraction form
    22,483.43/33,718.76 = 6,687.82/x
  3. Step 3: Cross multiply
    22,483.43x = 33,718.76 × 6,687.82
  4. Step 4: Simplify right side
    22,483.43x = 225,504,997.50
  5. Step 5: Solve for x
    x = 225,504,997.50/22,483.43
  6. Step 6: Final answer
    x = 10,029.83

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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.