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Finding the Fourth Proportional to 22,107.84, 33,156 and 8,249.28

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Solution

The fourth proportional to 22,107.84, 33,156 and 8,249.28 is: 12,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.84 : 33,156 = 8,249.28 : x
  2. Step 2: Convert to fraction form
    22,107.84/33,156 = 8,249.28/x
  3. Step 3: Cross multiply
    22,107.84x = 33,156 × 8,249.28
  4. Step 4: Simplify right side
    22,107.84x = 273,513,127.68
  5. Step 5: Solve for x
    x = 273,513,127.68/22,107.84
  6. Step 6: Final answer
    x = 12,371.77

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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.