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Finding the Fourth Proportional to 25,867, 38,818.73 and 10,288.27

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Solution

The fourth proportional to 25,867, 38,818.73 and 10,288.27 is: 15,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867 : 38,818.73 = 10,288.27 : x
  2. Step 2: Convert to fraction form
    25,867/38,818.73 = 10,288.27/x
  3. Step 3: Cross multiply
    25,867x = 38,818.73 × 10,288.27
  4. Step 4: Simplify right side
    25,867x = 399,377,575.30
  5. Step 5: Solve for x
    x = 399,377,575.30/25,867
  6. Step 6: Final answer
    x = 15,439.66

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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.