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Finding the Fourth Proportional to 16,217.22, 24,318.81 and 6,861.42

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Solution

The fourth proportional to 16,217.22, 24,318.81 and 6,861.42 is: 10,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.22 : 24,318.81 = 6,861.42 : x
  2. Step 2: Convert to fraction form
    16,217.22/24,318.81 = 6,861.42/x
  3. Step 3: Cross multiply
    16,217.22x = 24,318.81 × 6,861.42
  4. Step 4: Simplify right side
    16,217.22x = 166,861,569.31
  5. Step 5: Solve for x
    x = 166,861,569.31/16,217.22
  6. Step 6: Final answer
    x = 10,289.16

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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.