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Finding the Fourth Proportional to 16,298.37, 24,449.49 and 5,766.23

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Solution

The fourth proportional to 16,298.37, 24,449.49 and 5,766.23 is: 8,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.37 : 24,449.49 = 5,766.23 : x
  2. Step 2: Convert to fraction form
    16,298.37/24,449.49 = 5,766.23/x
  3. Step 3: Cross multiply
    16,298.37x = 24,449.49 × 5,766.23
  4. Step 4: Simplify right side
    16,298.37x = 140,981,443.85
  5. Step 5: Solve for x
    x = 140,981,443.85/16,298.37
  6. Step 6: Final answer
    x = 8,650.03

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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.