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Finding the Fourth Proportional to 16,564.83, 24,846.66 and 5,471.25

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Solution

The fourth proportional to 16,564.83, 24,846.66 and 5,471.25 is: 8,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.83 : 24,846.66 = 5,471.25 : x
  2. Step 2: Convert to fraction form
    16,564.83/24,846.66 = 5,471.25/x
  3. Step 3: Cross multiply
    16,564.83x = 24,846.66 × 5,471.25
  4. Step 4: Simplify right side
    16,564.83x = 135,942,288.53
  5. Step 5: Solve for x
    x = 135,942,288.53/16,564.83
  6. Step 6: Final answer
    x = 8,206.68

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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.