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Finding the Fourth Proportional to 16,796.96, 25,198.16 and 5,704.64

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Solution

The fourth proportional to 16,796.96, 25,198.16 and 5,704.64 is: 8,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796.96 : 25,198.16 = 5,704.64 : x
  2. Step 2: Convert to fraction form
    16,796.96/25,198.16 = 5,704.64/x
  3. Step 3: Cross multiply
    16,796.96x = 25,198.16 × 5,704.64
  4. Step 4: Simplify right side
    16,796.96x = 143,746,431.46
  5. Step 5: Solve for x
    x = 143,746,431.46/16,796.96
  6. Step 6: Final answer
    x = 8,557.88

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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.