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Finding the Fourth Proportional to 25,825.88, 38,735.18 and 8,293.43

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Solution

The fourth proportional to 25,825.88, 38,735.18 and 8,293.43 is: 12,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.88 : 38,735.18 = 8,293.43 : x
  2. Step 2: Convert to fraction form
    25,825.88/38,735.18 = 8,293.43/x
  3. Step 3: Cross multiply
    25,825.88x = 38,735.18 × 8,293.43
  4. Step 4: Simplify right side
    25,825.88x = 321,247,268.72
  5. Step 5: Solve for x
    x = 321,247,268.72/25,825.88
  6. Step 6: Final answer
    x = 12,438.97

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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.