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Finding the Fourth Proportional to 22,120, 33,194.58 and 8,269

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Solution

The fourth proportional to 22,120, 33,194.58 and 8,269 is: 12,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120 : 33,194.58 = 8,269 : x
  2. Step 2: Convert to fraction form
    22,120/33,194.58 = 8,269/x
  3. Step 3: Cross multiply
    22,120x = 33,194.58 × 8,269
  4. Step 4: Simplify right side
    22,120x = 274,485,982.02
  5. Step 5: Solve for x
    x = 274,485,982.02/22,120
  6. Step 6: Final answer
    x = 12,408.95

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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.