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Finding the Fourth Proportional to 25,170.71, 37,732.49 and 8,519.09

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Solution

The fourth proportional to 25,170.71, 37,732.49 and 8,519.09 is: 12,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170.71 : 37,732.49 = 8,519.09 : x
  2. Step 2: Convert to fraction form
    25,170.71/37,732.49 = 8,519.09/x
  3. Step 3: Cross multiply
    25,170.71x = 37,732.49 × 8,519.09
  4. Step 4: Simplify right side
    25,170.71x = 321,446,435.64
  5. Step 5: Solve for x
    x = 321,446,435.64/25,170.71
  6. Step 6: Final answer
    x = 12,770.65

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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.