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Finding the Fourth Proportional to 16,221.69, 24,342.15 and 6,861.20

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Solution

The fourth proportional to 16,221.69, 24,342.15 and 6,861.20 is: 10,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.69 : 24,342.15 = 6,861.20 : x
  2. Step 2: Convert to fraction form
    16,221.69/24,342.15 = 6,861.20/x
  3. Step 3: Cross multiply
    16,221.69x = 24,342.15 × 6,861.20
  4. Step 4: Simplify right side
    16,221.69x = 167,016,237.87
  5. Step 5: Solve for x
    x = 167,016,237.87/16,221.69
  6. Step 6: Final answer
    x = 10,295.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.