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Finding the Fourth Proportional to 13,402.80, 18,493.06 and 8,096.60

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Solution

The fourth proportional to 13,402.80, 18,493.06 and 8,096.60 is: 11,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.80 : 18,493.06 = 8,096.60 : x
  2. Step 2: Convert to fraction form
    13,402.80/18,493.06 = 8,096.60/x
  3. Step 3: Cross multiply
    13,402.80x = 18,493.06 × 8,096.60
  4. Step 4: Simplify right side
    13,402.80x = 149,730,909.60
  5. Step 5: Solve for x
    x = 149,730,909.60/13,402.80
  6. Step 6: Final answer
    x = 11,171.61

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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.