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Finding the Fourth Proportional to 16,480.42, 24,704.09 and 8,166.47

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Solution

The fourth proportional to 16,480.42, 24,704.09 and 8,166.47 is: 12,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.42 : 24,704.09 = 8,166.47 : x
  2. Step 2: Convert to fraction form
    16,480.42/24,704.09 = 8,166.47/x
  3. Step 3: Cross multiply
    16,480.42x = 24,704.09 × 8,166.47
  4. Step 4: Simplify right side
    16,480.42x = 201,745,292.04
  5. Step 5: Solve for x
    x = 201,745,292.04/16,480.42
  6. Step 6: Final answer
    x = 12,241.52

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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.