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Finding the Fourth Proportional to 14,685.63, 20,267.38 and 8,399.22

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Solution

The fourth proportional to 14,685.63, 20,267.38 and 8,399.22 is: 11,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.63 : 20,267.38 = 8,399.22 : x
  2. Step 2: Convert to fraction form
    14,685.63/20,267.38 = 8,399.22/x
  3. Step 3: Cross multiply
    14,685.63x = 20,267.38 × 8,399.22
  4. Step 4: Simplify right side
    14,685.63x = 170,230,183.44
  5. Step 5: Solve for x
    x = 170,230,183.44/14,685.63
  6. Step 6: Final answer
    x = 11,591.62

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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.