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Finding the Fourth Proportional to 25,162.25, 37,745.19 and 7,633.44

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Solution

The fourth proportional to 25,162.25, 37,745.19 and 7,633.44 is: 11,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.25 : 37,745.19 = 7,633.44 : x
  2. Step 2: Convert to fraction form
    25,162.25/37,745.19 = 7,633.44/x
  3. Step 3: Cross multiply
    25,162.25x = 37,745.19 × 7,633.44
  4. Step 4: Simplify right side
    25,162.25x = 288,125,643.15
  5. Step 5: Solve for x
    x = 288,125,643.15/25,162.25
  6. Step 6: Final answer
    x = 11,450.71

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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.