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Finding the Fourth Proportional to 25,864.38, 38,797.38 and 8,335.98

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Solution

The fourth proportional to 25,864.38, 38,797.38 and 8,335.98 is: 12,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.38 : 38,797.38 = 8,335.98 : x
  2. Step 2: Convert to fraction form
    25,864.38/38,797.38 = 8,335.98/x
  3. Step 3: Cross multiply
    25,864.38x = 38,797.38 × 8,335.98
  4. Step 4: Simplify right side
    25,864.38x = 323,414,183.73
  5. Step 5: Solve for x
    x = 323,414,183.73/25,864.38
  6. Step 6: Final answer
    x = 12,504.23

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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.