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Finding the Fourth Proportional to 25,049.20, 37,578.13 and 8,410.84

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Solution

The fourth proportional to 25,049.20, 37,578.13 and 8,410.84 is: 12,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.20 : 37,578.13 = 8,410.84 : x
  2. Step 2: Convert to fraction form
    25,049.20/37,578.13 = 8,410.84/x
  3. Step 3: Cross multiply
    25,049.20x = 37,578.13 × 8,410.84
  4. Step 4: Simplify right side
    25,049.20x = 316,063,523.96
  5. Step 5: Solve for x
    x = 316,063,523.96/25,049.20
  6. Step 6: Final answer
    x = 12,617.71

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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.