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Finding the Fourth Proportional to 17,401.42, 24,013.41 and 9,744.71

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Solution

The fourth proportional to 17,401.42, 24,013.41 and 9,744.71 is: 13,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.42 : 24,013.41 = 9,744.71 : x
  2. Step 2: Convert to fraction form
    17,401.42/24,013.41 = 9,744.71/x
  3. Step 3: Cross multiply
    17,401.42x = 24,013.41 × 9,744.71
  4. Step 4: Simplify right side
    17,401.42x = 234,003,716.56
  5. Step 5: Solve for x
    x = 234,003,716.56/17,401.42
  6. Step 6: Final answer
    x = 13,447.39

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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.