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Finding the Fourth Proportional to 17,792.78, 24,553.04 and 9,834.48

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Solution

The fourth proportional to 17,792.78, 24,553.04 and 9,834.48 is: 13,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,792.78 : 24,553.04 = 9,834.48 : x
  2. Step 2: Convert to fraction form
    17,792.78/24,553.04 = 9,834.48/x
  3. Step 3: Cross multiply
    17,792.78x = 24,553.04 × 9,834.48
  4. Step 4: Simplify right side
    17,792.78x = 241,466,405.41
  5. Step 5: Solve for x
    x = 241,466,405.41/17,792.78
  6. Step 6: Final answer
    x = 13,571.03

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Why These Related Problems?

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