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Finding the Fourth Proportional to 16,221.66, 24,342.09 and 6,861.15

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Solution

The fourth proportional to 16,221.66, 24,342.09 and 6,861.15 is: 10,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.66 : 24,342.09 = 6,861.15 : x
  2. Step 2: Convert to fraction form
    16,221.66/24,342.09 = 6,861.15/x
  3. Step 3: Cross multiply
    16,221.66x = 24,342.09 × 6,861.15
  4. Step 4: Simplify right side
    16,221.66x = 167,014,730.80
  5. Step 5: Solve for x
    x = 167,014,730.80/16,221.66
  6. Step 6: Final answer
    x = 10,295.79

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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.