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Finding the Fourth Proportional to 16,388.57, 24,571.46 and 8,367.77

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Solution

The fourth proportional to 16,388.57, 24,571.46 and 8,367.77 is: 12,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.57 : 24,571.46 = 8,367.77 : x
  2. Step 2: Convert to fraction form
    16,388.57/24,571.46 = 8,367.77/x
  3. Step 3: Cross multiply
    16,388.57x = 24,571.46 × 8,367.77
  4. Step 4: Simplify right side
    16,388.57x = 205,608,408.19
  5. Step 5: Solve for x
    x = 205,608,408.19/16,388.57
  6. Step 6: Final answer
    x = 12,545.84

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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.