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Finding the Fourth Proportional to 25,096.05, 34,675.56 and 24,198

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Solution

The fourth proportional to 25,096.05, 34,675.56 and 24,198 is: 33,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.05 : 34,675.56 = 24,198 : x
  2. Step 2: Convert to fraction form
    25,096.05/34,675.56 = 24,198/x
  3. Step 3: Cross multiply
    25,096.05x = 34,675.56 × 24,198
  4. Step 4: Simplify right side
    25,096.05x = 839,079,200.88
  5. Step 5: Solve for x
    x = 839,079,200.88/25,096.05
  6. Step 6: Final answer
    x = 33,434.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.