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Finding the Fourth Proportional to 22,105.84, 33,162 and 6,521.44

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Solution

The fourth proportional to 22,105.84, 33,162 and 6,521.44 is: 9,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.84 : 33,162 = 6,521.44 : x
  2. Step 2: Convert to fraction form
    22,105.84/33,162 = 6,521.44/x
  3. Step 3: Cross multiply
    22,105.84x = 33,162 × 6,521.44
  4. Step 4: Simplify right side
    22,105.84x = 216,263,993.28
  5. Step 5: Solve for x
    x = 216,263,993.28/22,105.84
  6. Step 6: Final answer
    x = 9,783.12

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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.