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Finding the Fourth Proportional to 13,469.86, 20,215.32 and 9,338.96

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Solution

The fourth proportional to 13,469.86, 20,215.32 and 9,338.96 is: 14,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.86 : 20,215.32 = 9,338.96 : x
  2. Step 2: Convert to fraction form
    13,469.86/20,215.32 = 9,338.96/x
  3. Step 3: Cross multiply
    13,469.86x = 20,215.32 × 9,338.96
  4. Step 4: Simplify right side
    13,469.86x = 188,790,115.41
  5. Step 5: Solve for x
    x = 188,790,115.41/13,469.86
  6. Step 6: Final answer
    x = 14,015.75

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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.