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Finding the Fourth Proportional to 24,101.73, 36,163.23 and 8,309.16

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Solution

The fourth proportional to 24,101.73, 36,163.23 and 8,309.16 is: 12,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.73 : 36,163.23 = 8,309.16 : x
  2. Step 2: Convert to fraction form
    24,101.73/36,163.23 = 8,309.16/x
  3. Step 3: Cross multiply
    24,101.73x = 36,163.23 × 8,309.16
  4. Step 4: Simplify right side
    24,101.73x = 300,486,033.03
  5. Step 5: Solve for x
    x = 300,486,033.03/24,101.73
  6. Step 6: Final answer
    x = 12,467.41

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1.5x scale

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.