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Finding the Fourth Proportional to 25,231.26, 37,846.89 and 6,763.74

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Solution

The fourth proportional to 25,231.26, 37,846.89 and 6,763.74 is: 10,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.26 : 37,846.89 = 6,763.74 : x
  2. Step 2: Convert to fraction form
    25,231.26/37,846.89 = 6,763.74/x
  3. Step 3: Cross multiply
    25,231.26x = 37,846.89 × 6,763.74
  4. Step 4: Simplify right side
    25,231.26x = 255,986,523.77
  5. Step 5: Solve for x
    x = 255,986,523.77/25,231.26
  6. Step 6: Final answer
    x = 10,145.61

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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.