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Finding the Fourth Proportional to 12,591.10, 18,885.84 and 3,826.09

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Solution

The fourth proportional to 12,591.10, 18,885.84 and 3,826.09 is: 5,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.10 : 18,885.84 = 3,826.09 : x
  2. Step 2: Convert to fraction form
    12,591.10/18,885.84 = 3,826.09/x
  3. Step 3: Cross multiply
    12,591.10x = 18,885.84 × 3,826.09
  4. Step 4: Simplify right side
    12,591.10x = 72,258,923.57
  5. Step 5: Solve for x
    x = 72,258,923.57/12,591.10
  6. Step 6: Final answer
    x = 5,738.89

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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.