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Finding the Fourth Proportional to 25,745.25, 38,617.88 and 10,162.88

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Solution

The fourth proportional to 25,745.25, 38,617.88 and 10,162.88 is: 15,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.25 : 38,617.88 = 10,162.88 : x
  2. Step 2: Convert to fraction form
    25,745.25/38,617.88 = 10,162.88/x
  3. Step 3: Cross multiply
    25,745.25x = 38,617.88 × 10,162.88
  4. Step 4: Simplify right side
    25,745.25x = 392,468,636.39
  5. Step 5: Solve for x
    x = 392,468,636.39/25,745.25
  6. Step 6: Final answer
    x = 15,244.31

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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.