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Finding the Fourth Proportional to 16,143.02, 24,198.73 and 8,241.87

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Solution

The fourth proportional to 16,143.02, 24,198.73 and 8,241.87 is: 12,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.02 : 24,198.73 = 8,241.87 : x
  2. Step 2: Convert to fraction form
    16,143.02/24,198.73 = 8,241.87/x
  3. Step 3: Cross multiply
    16,143.02x = 24,198.73 × 8,241.87
  4. Step 4: Simplify right side
    16,143.02x = 199,442,766.22
  5. Step 5: Solve for x
    x = 199,442,766.22/16,143.02
  6. Step 6: Final answer
    x = 12,354.74

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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.