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Finding the Fourth Proportional to 17,522.27, 24,180.05 and 9,564.49

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Solution

The fourth proportional to 17,522.27, 24,180.05 and 9,564.49 is: 13,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.27 : 24,180.05 = 9,564.49 : x
  2. Step 2: Convert to fraction form
    17,522.27/24,180.05 = 9,564.49/x
  3. Step 3: Cross multiply
    17,522.27x = 24,180.05 × 9,564.49
  4. Step 4: Simplify right side
    17,522.27x = 231,269,677.70
  5. Step 5: Solve for x
    x = 231,269,677.70/17,522.27
  6. Step 6: Final answer
    x = 13,198.62

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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.