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Finding the Fourth Proportional to 16,231.80, 22,399.78 and 8,779.80

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Solution

The fourth proportional to 16,231.80, 22,399.78 and 8,779.80 is: 12,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.80 : 22,399.78 = 8,779.80 : x
  2. Step 2: Convert to fraction form
    16,231.80/22,399.78 = 8,779.80/x
  3. Step 3: Cross multiply
    16,231.80x = 22,399.78 × 8,779.80
  4. Step 4: Simplify right side
    16,231.80x = 196,665,588.44
  5. Step 5: Solve for x
    x = 196,665,588.44/16,231.80
  6. Step 6: Final answer
    x = 12,116.07

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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.