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Finding the Fourth Proportional to 25,891.80, 38,840.24 and 10,305.80

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Solution

The fourth proportional to 25,891.80, 38,840.24 and 10,305.80 is: 15,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891.80 : 38,840.24 = 10,305.80 : x
  2. Step 2: Convert to fraction form
    25,891.80/38,840.24 = 10,305.80/x
  3. Step 3: Cross multiply
    25,891.80x = 38,840.24 × 10,305.80
  4. Step 4: Simplify right side
    25,891.80x = 400,279,745.39
  5. Step 5: Solve for x
    x = 400,279,745.39/25,891.80
  6. Step 6: Final answer
    x = 15,459.71

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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.