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Finding the Fourth Proportional to 22,498.45, 33,753.92 and 9,845.95

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Solution

The fourth proportional to 22,498.45, 33,753.92 and 9,845.95 is: 14,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.45 : 33,753.92 = 9,845.95 : x
  2. Step 2: Convert to fraction form
    22,498.45/33,753.92 = 9,845.95/x
  3. Step 3: Cross multiply
    22,498.45x = 33,753.92 × 9,845.95
  4. Step 4: Simplify right side
    22,498.45x = 332,339,514.82
  5. Step 5: Solve for x
    x = 332,339,514.82/22,498.45
  6. Step 6: Final answer
    x = 14,771.66

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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.