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Finding the Fourth Proportional to 16,224.97, 24,338.48 and 6,863.25

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Solution

The fourth proportional to 16,224.97, 24,338.48 and 6,863.25 is: 10,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.97 : 24,338.48 = 6,863.25 : x
  2. Step 2: Convert to fraction form
    16,224.97/24,338.48 = 6,863.25/x
  3. Step 3: Cross multiply
    16,224.97x = 24,338.48 × 6,863.25
  4. Step 4: Simplify right side
    16,224.97x = 167,041,072.86
  5. Step 5: Solve for x
    x = 167,041,072.86/16,224.97
  6. Step 6: Final answer
    x = 10,295.31

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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.