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Finding the Fourth Proportional to 17,553.57, 24,224.30 and 9,596.53

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Solution

The fourth proportional to 17,553.57, 24,224.30 and 9,596.53 is: 13,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,553.57 : 24,224.30 = 9,596.53 : x
  2. Step 2: Convert to fraction form
    17,553.57/24,224.30 = 9,596.53/x
  3. Step 3: Cross multiply
    17,553.57x = 24,224.30 × 9,596.53
  4. Step 4: Simplify right side
    17,553.57x = 232,469,173.70
  5. Step 5: Solve for x
    x = 232,469,173.70/17,553.57
  6. Step 6: Final answer
    x = 13,243.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.