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Finding the Fourth Proportional to 22,404.66, 33,611.84 and 6,821.88

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Solution

The fourth proportional to 22,404.66, 33,611.84 and 6,821.88 is: 10,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404.66 : 33,611.84 = 6,821.88 : x
  2. Step 2: Convert to fraction form
    22,404.66/33,611.84 = 6,821.88/x
  3. Step 3: Cross multiply
    22,404.66x = 33,611.84 × 6,821.88
  4. Step 4: Simplify right side
    22,404.66x = 229,295,939.06
  5. Step 5: Solve for x
    x = 229,295,939.06/22,404.66
  6. Step 6: Final answer
    x = 10,234.30

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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.