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Finding the Fourth Proportional to 13,874.28, 20,806.38 and 4,011.54

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Solution

The fourth proportional to 13,874.28, 20,806.38 and 4,011.54 is: 6,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.28 : 20,806.38 = 4,011.54 : x
  2. Step 2: Convert to fraction form
    13,874.28/20,806.38 = 4,011.54/x
  3. Step 3: Cross multiply
    13,874.28x = 20,806.38 × 4,011.54
  4. Step 4: Simplify right side
    13,874.28x = 83,465,625.63
  5. Step 5: Solve for x
    x = 83,465,625.63/13,874.28
  6. Step 6: Final answer
    x = 6,015.85

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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.