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Finding the Fourth Proportional to 25,198.44, 37,801.74 and 8,559.96

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Solution

The fourth proportional to 25,198.44, 37,801.74 and 8,559.96 is: 12,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.44 : 37,801.74 = 8,559.96 : x
  2. Step 2: Convert to fraction form
    25,198.44/37,801.74 = 8,559.96/x
  3. Step 3: Cross multiply
    25,198.44x = 37,801.74 × 8,559.96
  4. Step 4: Simplify right side
    25,198.44x = 323,581,382.33
  5. Step 5: Solve for x
    x = 323,581,382.33/25,198.44
  6. Step 6: Final answer
    x = 12,841.33

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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.