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Finding the Fourth Proportional to 23,832.57, 35,742 and 9,601

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Solution

The fourth proportional to 23,832.57, 35,742 and 9,601 is: 14,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.57 : 35,742 = 9,601 : x
  2. Step 2: Convert to fraction form
    23,832.57/35,742 = 9,601/x
  3. Step 3: Cross multiply
    23,832.57x = 35,742 × 9,601
  4. Step 4: Simplify right side
    23,832.57x = 343,158,942
  5. Step 5: Solve for x
    x = 343,158,942/23,832.57
  6. Step 6: Final answer
    x = 14,398.74

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Why These Related Problems?

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