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Finding the Fourth Proportional to 36,522.69, 54,792.24 and 11,564.25

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Solution

The fourth proportional to 36,522.69, 54,792.24 and 11,564.25 is: 17,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522.69 : 54,792.24 = 11,564.25 : x
  2. Step 2: Convert to fraction form
    36,522.69/54,792.24 = 11,564.25/x
  3. Step 3: Cross multiply
    36,522.69x = 54,792.24 × 11,564.25
  4. Step 4: Simplify right side
    36,522.69x = 633,631,161.42
  5. Step 5: Solve for x
    x = 633,631,161.42/36,522.69
  6. Step 6: Final answer
    x = 17,348.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.