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Finding the Fourth Proportional to 18,504.60, 27,771.50 and 6,826.02

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Solution

The fourth proportional to 18,504.60, 27,771.50 and 6,826.02 is: 10,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504.60 : 27,771.50 = 6,826.02 : x
  2. Step 2: Convert to fraction form
    18,504.60/27,771.50 = 6,826.02/x
  3. Step 3: Cross multiply
    18,504.60x = 27,771.50 × 6,826.02
  4. Step 4: Simplify right side
    18,504.60x = 189,568,780.30
  5. Step 5: Solve for x
    x = 189,568,780.30/18,504.60
  6. Step 6: Final answer
    x = 10,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.