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Finding the Fourth Proportional to 16,549.68, 24,822 and 5,455.92

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Solution

The fourth proportional to 16,549.68, 24,822 and 5,455.92 is: 8,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.68 : 24,822 = 5,455.92 : x
  2. Step 2: Convert to fraction form
    16,549.68/24,822 = 5,455.92/x
  3. Step 3: Cross multiply
    16,549.68x = 24,822 × 5,455.92
  4. Step 4: Simplify right side
    16,549.68x = 135,426,846.24
  5. Step 5: Solve for x
    x = 135,426,846.24/16,549.68
  6. Step 6: Final answer
    x = 8,183.05

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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.