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Finding the Fourth Proportional to 22,484.76, 33,727.23 and 5,843.61

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Solution

The fourth proportional to 22,484.76, 33,727.23 and 5,843.61 is: 8,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.76 : 33,727.23 = 5,843.61 : x
  2. Step 2: Convert to fraction form
    22,484.76/33,727.23 = 5,843.61/x
  3. Step 3: Cross multiply
    22,484.76x = 33,727.23 × 5,843.61
  4. Step 4: Simplify right side
    22,484.76x = 197,088,778.50
  5. Step 5: Solve for x
    x = 197,088,778.50/22,484.76
  6. Step 6: Final answer
    x = 8,765.44

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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.