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Finding the Fourth Proportional to 16,231.76, 22,399.69 and 8,779.76

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Solution

The fourth proportional to 16,231.76, 22,399.69 and 8,779.76 is: 12,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.76 : 22,399.69 = 8,779.76 : x
  2. Step 2: Convert to fraction form
    16,231.76/22,399.69 = 8,779.76/x
  3. Step 3: Cross multiply
    16,231.76x = 22,399.69 × 8,779.76
  4. Step 4: Simplify right side
    16,231.76x = 196,663,902.27
  5. Step 5: Solve for x
    x = 196,663,902.27/16,231.76
  6. Step 6: Final answer
    x = 12,115.99

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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.