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Finding the Fourth Proportional to 13,840, 20,760 and 4,112

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Solution

The fourth proportional to 13,840, 20,760 and 4,112 is: 6,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 20,760 = 4,112 : x
  2. Step 2: Convert to fraction form
    13,840/20,760 = 4,112/x
  3. Step 3: Cross multiply
    13,840x = 20,760 × 4,112
  4. Step 4: Simplify right side
    13,840x = 85,365,120
  5. Step 5: Solve for x
    x = 85,365,120/13,840
  6. Step 6: Final answer
    x = 6,168

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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.