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Finding the Fourth Proportional to 25,825.20, 38,680.20 and 21,217.20

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Solution

The fourth proportional to 25,825.20, 38,680.20 and 21,217.20 is: 31,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.20 : 38,680.20 = 21,217.20 : x
  2. Step 2: Convert to fraction form
    25,825.20/38,680.20 = 21,217.20/x
  3. Step 3: Cross multiply
    25,825.20x = 38,680.20 × 21,217.20
  4. Step 4: Simplify right side
    25,825.20x = 820,685,539.44
  5. Step 5: Solve for x
    x = 820,685,539.44/25,825.20
  6. Step 6: Final answer
    x = 31,778.48

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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.