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Finding the Fourth Proportional to 13,677.66, 20,516.46 and 5,351.84

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Solution

The fourth proportional to 13,677.66, 20,516.46 and 5,351.84 is: 8,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.66 : 20,516.46 = 5,351.84 : x
  2. Step 2: Convert to fraction form
    13,677.66/20,516.46 = 5,351.84/x
  3. Step 3: Cross multiply
    13,677.66x = 20,516.46 × 5,351.84
  4. Step 4: Simplify right side
    13,677.66x = 109,800,765.57
  5. Step 5: Solve for x
    x = 109,800,765.57/13,677.66
  6. Step 6: Final answer
    x = 8,027.74

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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.