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Finding the Fourth Proportional to 16,200, 24,245.13 and 9,963.97

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Solution

The fourth proportional to 16,200, 24,245.13 and 9,963.97 is: 14,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 24,245.13 = 9,963.97 : x
  2. Step 2: Convert to fraction form
    16,200/24,245.13 = 9,963.97/x
  3. Step 3: Cross multiply
    16,200x = 24,245.13 × 9,963.97
  4. Step 4: Simplify right side
    16,200x = 241,577,747.97
  5. Step 5: Solve for x
    x = 241,577,747.97/16,200
  6. Step 6: Final answer
    x = 14,912.21

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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.