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Finding the Fourth Proportional to 27,874.80, 41,779.80 and 11,226.60

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Solution

The fourth proportional to 27,874.80, 41,779.80 and 11,226.60 is: 16,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.80 : 41,779.80 = 11,226.60 : x
  2. Step 2: Convert to fraction form
    27,874.80/41,779.80 = 11,226.60/x
  3. Step 3: Cross multiply
    27,874.80x = 41,779.80 × 11,226.60
  4. Step 4: Simplify right side
    27,874.80x = 469,045,102.68
  5. Step 5: Solve for x
    x = 469,045,102.68/27,874.80
  6. Step 6: Final answer
    x = 16,826.85

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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.