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Finding the Fourth Proportional to 13,683.60, 20,517.17 and 5,353.68

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Solution

The fourth proportional to 13,683.60, 20,517.17 and 5,353.68 is: 8,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.60 : 20,517.17 = 5,353.68 : x
  2. Step 2: Convert to fraction form
    13,683.60/20,517.17 = 5,353.68/x
  3. Step 3: Cross multiply
    13,683.60x = 20,517.17 × 5,353.68
  4. Step 4: Simplify right side
    13,683.60x = 109,842,362.69
  5. Step 5: Solve for x
    x = 109,842,362.69/13,683.60
  6. Step 6: Final answer
    x = 8,027.30

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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.