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Finding the Fourth Proportional to 20,578.67, 30,870.94 and 6,348.35

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Solution

The fourth proportional to 20,578.67, 30,870.94 and 6,348.35 is: 9,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.67 : 30,870.94 = 6,348.35 : x
  2. Step 2: Convert to fraction form
    20,578.67/30,870.94 = 6,348.35/x
  3. Step 3: Cross multiply
    20,578.67x = 30,870.94 × 6,348.35
  4. Step 4: Simplify right side
    20,578.67x = 195,979,377.59
  5. Step 5: Solve for x
    x = 195,979,377.59/20,578.67
  6. Step 6: Final answer
    x = 9,523.43

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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.