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Finding the Fourth Proportional to 25,626.42, 38,439.41 and 8,096.25

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Solution

The fourth proportional to 25,626.42, 38,439.41 and 8,096.25 is: 12,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626.42 : 38,439.41 = 8,096.25 : x
  2. Step 2: Convert to fraction form
    25,626.42/38,439.41 = 8,096.25/x
  3. Step 3: Cross multiply
    25,626.42x = 38,439.41 × 8,096.25
  4. Step 4: Simplify right side
    25,626.42x = 311,215,032.73
  5. Step 5: Solve for x
    x = 311,215,032.73/25,626.42
  6. Step 6: Final answer
    x = 12,144.30

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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.