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Finding the Fourth Proportional to 13,402.94, 20,105.20 and 4,517.53

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Solution

The fourth proportional to 13,402.94, 20,105.20 and 4,517.53 is: 6,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.94 : 20,105.20 = 4,517.53 : x
  2. Step 2: Convert to fraction form
    13,402.94/20,105.20 = 4,517.53/x
  3. Step 3: Cross multiply
    13,402.94x = 20,105.20 × 4,517.53
  4. Step 4: Simplify right side
    13,402.94x = 90,825,782.60
  5. Step 5: Solve for x
    x = 90,825,782.60/13,402.94
  6. Step 6: Final answer
    x = 6,776.56

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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.