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Finding the Fourth Proportional to 12,542.72, 18,814.44 and 6,992.96

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Solution

The fourth proportional to 12,542.72, 18,814.44 and 6,992.96 is: 10,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.72 : 18,814.44 = 6,992.96 : x
  2. Step 2: Convert to fraction form
    12,542.72/18,814.44 = 6,992.96/x
  3. Step 3: Cross multiply
    12,542.72x = 18,814.44 × 6,992.96
  4. Step 4: Simplify right side
    12,542.72x = 131,568,626.34
  5. Step 5: Solve for x
    x = 131,568,626.34/12,542.72
  6. Step 6: Final answer
    x = 10,489.64

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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.