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Finding the Fourth Proportional to 13,517.86, 18,644.27 and 8,134.68

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Solution

The fourth proportional to 13,517.86, 18,644.27 and 8,134.68 is: 11,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.86 : 18,644.27 = 8,134.68 : x
  2. Step 2: Convert to fraction form
    13,517.86/18,644.27 = 8,134.68/x
  3. Step 3: Cross multiply
    13,517.86x = 18,644.27 × 8,134.68
  4. Step 4: Simplify right side
    13,517.86x = 151,665,170.28
  5. Step 5: Solve for x
    x = 151,665,170.28/13,517.86
  6. Step 6: Final answer
    x = 11,219.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.