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Finding the Fourth Proportional to 17,997.78, 24,834.03 and 10,825.94

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Solution

The fourth proportional to 17,997.78, 24,834.03 and 10,825.94 is: 14,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997.78 : 24,834.03 = 10,825.94 : x
  2. Step 2: Convert to fraction form
    17,997.78/24,834.03 = 10,825.94/x
  3. Step 3: Cross multiply
    17,997.78x = 24,834.03 × 10,825.94
  4. Step 4: Simplify right side
    17,997.78x = 268,851,594.57
  5. Step 5: Solve for x
    x = 268,851,594.57/17,997.78
  6. Step 6: Final answer
    x = 14,938.04

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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.