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Finding the Fourth Proportional to 12,872.74, 19,310.46 and 4,108

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Solution

The fourth proportional to 12,872.74, 19,310.46 and 4,108 is: 6,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.74 : 19,310.46 = 4,108 : x
  2. Step 2: Convert to fraction form
    12,872.74/19,310.46 = 4,108/x
  3. Step 3: Cross multiply
    12,872.74x = 19,310.46 × 4,108
  4. Step 4: Simplify right side
    12,872.74x = 79,327,369.68
  5. Step 5: Solve for x
    x = 79,327,369.68/12,872.74
  6. Step 6: Final answer
    x = 6,162.43

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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.