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Finding the Fourth Proportional to 25,229.20, 37,843.80 and 9,644.80

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Solution

The fourth proportional to 25,229.20, 37,843.80 and 9,644.80 is: 14,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.20 : 37,843.80 = 9,644.80 : x
  2. Step 2: Convert to fraction form
    25,229.20/37,843.80 = 9,644.80/x
  3. Step 3: Cross multiply
    25,229.20x = 37,843.80 × 9,644.80
  4. Step 4: Simplify right side
    25,229.20x = 364,995,882.24
  5. Step 5: Solve for x
    x = 364,995,882.24/25,229.20
  6. Step 6: Final answer
    x = 14,467.20

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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.