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Finding the Fourth Proportional to 22,433.49, 33,579.09 and 12,542.85

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Solution

The fourth proportional to 22,433.49, 33,579.09 and 12,542.85 is: 18,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.49 : 33,579.09 = 12,542.85 : x
  2. Step 2: Convert to fraction form
    22,433.49/33,579.09 = 12,542.85/x
  3. Step 3: Cross multiply
    22,433.49x = 33,579.09 × 12,542.85
  4. Step 4: Simplify right side
    22,433.49x = 421,177,489.01
  5. Step 5: Solve for x
    x = 421,177,489.01/22,433.49
  6. Step 6: Final answer
    x = 18,774.50

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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.