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Finding the Fourth Proportional to 12,912.62, 19,371.62 and 4,153.68

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Solution

The fourth proportional to 12,912.62, 19,371.62 and 4,153.68 is: 6,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.62 : 19,371.62 = 4,153.68 : x
  2. Step 2: Convert to fraction form
    12,912.62/19,371.62 = 4,153.68/x
  3. Step 3: Cross multiply
    12,912.62x = 19,371.62 × 4,153.68
  4. Step 4: Simplify right side
    12,912.62x = 80,463,520.95
  5. Step 5: Solve for x
    x = 80,463,520.95/12,912.62
  6. Step 6: Final answer
    x = 6,231.39

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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.