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Finding the Fourth Proportional to 16,633, 24,949.50 and 4,945.96

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Solution

The fourth proportional to 16,633, 24,949.50 and 4,945.96 is: 7,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633 : 24,949.50 = 4,945.96 : x
  2. Step 2: Convert to fraction form
    16,633/24,949.50 = 4,945.96/x
  3. Step 3: Cross multiply
    16,633x = 24,949.50 × 4,945.96
  4. Step 4: Simplify right side
    16,633x = 123,399,229.02
  5. Step 5: Solve for x
    x = 123,399,229.02/16,633
  6. Step 6: Final answer
    x = 7,418.94

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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.