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Finding the Fourth Proportional to 22,481.16, 33,713 and 8,433.54

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Solution

The fourth proportional to 22,481.16, 33,713 and 8,433.54 is: 12,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.16 : 33,713 = 8,433.54 : x
  2. Step 2: Convert to fraction form
    22,481.16/33,713 = 8,433.54/x
  3. Step 3: Cross multiply
    22,481.16x = 33,713 × 8,433.54
  4. Step 4: Simplify right side
    22,481.16x = 284,319,934.02
  5. Step 5: Solve for x
    x = 284,319,934.02/22,481.16
  6. Step 6: Final answer
    x = 12,647.03

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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.