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Finding the Fourth Proportional to 17,540.38, 24,202.38 and 10,467.46

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Solution

The fourth proportional to 17,540.38, 24,202.38 and 10,467.46 is: 14,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.38 : 24,202.38 = 10,467.46 : x
  2. Step 2: Convert to fraction form
    17,540.38/24,202.38 = 10,467.46/x
  3. Step 3: Cross multiply
    17,540.38x = 24,202.38 × 10,467.46
  4. Step 4: Simplify right side
    17,540.38x = 253,337,444.55
  5. Step 5: Solve for x
    x = 253,337,444.55/17,540.38
  6. Step 6: Final answer
    x = 14,443.10

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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.