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Finding the Fourth Proportional to 16,231.82, 22,399.89 and 8,779.82

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Solution

The fourth proportional to 16,231.82, 22,399.89 and 8,779.82 is: 12,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.82 : 22,399.89 = 8,779.82 : x
  2. Step 2: Convert to fraction form
    16,231.82/22,399.89 = 8,779.82/x
  3. Step 3: Cross multiply
    16,231.82x = 22,399.89 × 8,779.82
  4. Step 4: Simplify right side
    16,231.82x = 196,667,002.22
  5. Step 5: Solve for x
    x = 196,667,002.22/16,231.82
  6. Step 6: Final answer
    x = 12,116.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.