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Finding the Fourth Proportional to 20,578.35, 30,869.34 and 5,787.39

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Solution

The fourth proportional to 20,578.35, 30,869.34 and 5,787.39 is: 8,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.35 : 30,869.34 = 5,787.39 : x
  2. Step 2: Convert to fraction form
    20,578.35/30,869.34 = 5,787.39/x
  3. Step 3: Cross multiply
    20,578.35x = 30,869.34 × 5,787.39
  4. Step 4: Simplify right side
    20,578.35x = 178,652,755.28
  5. Step 5: Solve for x
    x = 178,652,755.28/20,578.35
  6. Step 6: Final answer
    x = 8,681.59

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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.