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Finding the Fourth Proportional to 25,716.82, 38,512.94 and 17,797.15

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Solution

The fourth proportional to 25,716.82, 38,512.94 and 17,797.15 is: 26,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.82 : 38,512.94 = 17,797.15 : x
  2. Step 2: Convert to fraction form
    25,716.82/38,512.94 = 17,797.15/x
  3. Step 3: Cross multiply
    25,716.82x = 38,512.94 × 17,797.15
  4. Step 4: Simplify right side
    25,716.82x = 685,420,422.05
  5. Step 5: Solve for x
    x = 685,420,422.05/25,716.82
  6. Step 6: Final answer
    x = 26,652.61

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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.