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Finding the Fourth Proportional to 25,942.44, 38,913.66 and 8,414.04

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Solution

The fourth proportional to 25,942.44, 38,913.66 and 8,414.04 is: 12,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942.44 : 38,913.66 = 8,414.04 : x
  2. Step 2: Convert to fraction form
    25,942.44/38,913.66 = 8,414.04/x
  3. Step 3: Cross multiply
    25,942.44x = 38,913.66 × 8,414.04
  4. Step 4: Simplify right side
    25,942.44x = 327,421,091.79
  5. Step 5: Solve for x
    x = 327,421,091.79/25,942.44
  6. Step 6: Final answer
    x = 12,621.06

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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.