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Finding the Fourth Proportional to 17,731.46, 24,469.11 and 9,665.20

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Solution

The fourth proportional to 17,731.46, 24,469.11 and 9,665.20 is: 13,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.46 : 24,469.11 = 9,665.20 : x
  2. Step 2: Convert to fraction form
    17,731.46/24,469.11 = 9,665.20/x
  3. Step 3: Cross multiply
    17,731.46x = 24,469.11 × 9,665.20
  4. Step 4: Simplify right side
    17,731.46x = 236,498,830.92
  5. Step 5: Solve for x
    x = 236,498,830.92/17,731.46
  6. Step 6: Final answer
    x = 13,337.81

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1.5x scale

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.