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Finding the Fourth Proportional to 12,542.70, 18,813.60 and 5,145.24

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Solution

The fourth proportional to 12,542.70, 18,813.60 and 5,145.24 is: 7,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.70 : 18,813.60 = 5,145.24 : x
  2. Step 2: Convert to fraction form
    12,542.70/18,813.60 = 5,145.24/x
  3. Step 3: Cross multiply
    12,542.70x = 18,813.60 × 5,145.24
  4. Step 4: Simplify right side
    12,542.70x = 96,800,487.26
  5. Step 5: Solve for x
    x = 96,800,487.26/12,542.70
  6. Step 6: Final answer
    x = 7,717.68

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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.