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Finding the Fourth Proportional to 25,728.62, 38,592.51 and 8,198.21

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Solution

The fourth proportional to 25,728.62, 38,592.51 and 8,198.21 is: 12,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.62 : 38,592.51 = 8,198.21 : x
  2. Step 2: Convert to fraction form
    25,728.62/38,592.51 = 8,198.21/x
  3. Step 3: Cross multiply
    25,728.62x = 38,592.51 × 8,198.21
  4. Step 4: Simplify right side
    25,728.62x = 316,389,501.41
  5. Step 5: Solve for x
    x = 316,389,501.41/25,728.62
  6. Step 6: Final answer
    x = 12,297.18

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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.