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Finding the Fourth Proportional to 17,323.24, 23,906.10 and 9,871.24

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Solution

The fourth proportional to 17,323.24, 23,906.10 and 9,871.24 is: 13,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.24 : 23,906.10 = 9,871.24 : x
  2. Step 2: Convert to fraction form
    17,323.24/23,906.10 = 9,871.24/x
  3. Step 3: Cross multiply
    17,323.24x = 23,906.10 × 9,871.24
  4. Step 4: Simplify right side
    17,323.24x = 235,982,850.56
  5. Step 5: Solve for x
    x = 235,982,850.56/17,323.24
  6. Step 6: Final answer
    x = 13,622.33

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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.