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Finding the Fourth Proportional to 16,096.25, 24,142.33 and 6,228.78

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Solution

The fourth proportional to 16,096.25, 24,142.33 and 6,228.78 is: 9,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.25 : 24,142.33 = 6,228.78 : x
  2. Step 2: Convert to fraction form
    16,096.25/24,142.33 = 6,228.78/x
  3. Step 3: Cross multiply
    16,096.25x = 24,142.33 × 6,228.78
  4. Step 4: Simplify right side
    16,096.25x = 150,377,246.69
  5. Step 5: Solve for x
    x = 150,377,246.69/16,096.25
  6. Step 6: Final answer
    x = 9,342.38

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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.