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Finding the Fourth Proportional to 22,183.20, 30,612.41 and 12,622.88

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Solution

The fourth proportional to 22,183.20, 30,612.41 and 12,622.88 is: 17,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.20 : 30,612.41 = 12,622.88 : x
  2. Step 2: Convert to fraction form
    22,183.20/30,612.41 = 12,622.88/x
  3. Step 3: Cross multiply
    22,183.20x = 30,612.41 × 12,622.88
  4. Step 4: Simplify right side
    22,183.20x = 386,416,777.94
  5. Step 5: Solve for x
    x = 386,416,777.94/22,183.20
  6. Step 6: Final answer
    x = 17,419.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.