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Finding the Fourth Proportional to 20,634.66, 30,951.81 and 5,052.30

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Solution

The fourth proportional to 20,634.66, 30,951.81 and 5,052.30 is: 7,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.66 : 30,951.81 = 5,052.30 : x
  2. Step 2: Convert to fraction form
    20,634.66/30,951.81 = 5,052.30/x
  3. Step 3: Cross multiply
    20,634.66x = 30,951.81 × 5,052.30
  4. Step 4: Simplify right side
    20,634.66x = 156,377,829.66
  5. Step 5: Solve for x
    x = 156,377,829.66/20,634.66
  6. Step 6: Final answer
    x = 7,578.41

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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.