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Finding the Fourth Proportional to 16,414.02, 24,610.25 and 8,099.48

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Solution

The fourth proportional to 16,414.02, 24,610.25 and 8,099.48 is: 12,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.02 : 24,610.25 = 8,099.48 : x
  2. Step 2: Convert to fraction form
    16,414.02/24,610.25 = 8,099.48/x
  3. Step 3: Cross multiply
    16,414.02x = 24,610.25 × 8,099.48
  4. Step 4: Simplify right side
    16,414.02x = 199,330,064.12
  5. Step 5: Solve for x
    x = 199,330,064.12/16,414.02
  6. Step 6: Final answer
    x = 12,143.89

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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.