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Finding the Fourth Proportional to 22,644.96, 33,965.76 and 9,496.80

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Solution

The fourth proportional to 22,644.96, 33,965.76 and 9,496.80 is: 14,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.96 : 33,965.76 = 9,496.80 : x
  2. Step 2: Convert to fraction form
    22,644.96/33,965.76 = 9,496.80/x
  3. Step 3: Cross multiply
    22,644.96x = 33,965.76 × 9,496.80
  4. Step 4: Simplify right side
    22,644.96x = 322,566,029.57
  5. Step 5: Solve for x
    x = 322,566,029.57/22,644.96
  6. Step 6: Final answer
    x = 14,244.50

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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.