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Finding the Fourth Proportional to 22,284, 33,426 and 5,868

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Solution

The fourth proportional to 22,284, 33,426 and 5,868 is: 8,802

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 33,426 = 5,868 : x
  2. Step 2: Convert to fraction form
    22,284/33,426 = 5,868/x
  3. Step 3: Cross multiply
    22,284x = 33,426 × 5,868
  4. Step 4: Simplify right side
    22,284x = 196,143,768
  5. Step 5: Solve for x
    x = 196,143,768/22,284
  6. Step 6: Final answer
    x = 8,802

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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.