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Finding the Fourth Proportional to 13,462.86, 20,198.41 and 6,893.69

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Solution

The fourth proportional to 13,462.86, 20,198.41 and 6,893.69 is: 10,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.86 : 20,198.41 = 6,893.69 : x
  2. Step 2: Convert to fraction form
    13,462.86/20,198.41 = 6,893.69/x
  3. Step 3: Cross multiply
    13,462.86x = 20,198.41 × 6,893.69
  4. Step 4: Simplify right side
    13,462.86x = 139,241,610.29
  5. Step 5: Solve for x
    x = 139,241,610.29/13,462.86
  6. Step 6: Final answer
    x = 10,342.65

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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.