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Finding the Fourth Proportional to 20,578.98, 30,868.20 and 5,787.12

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Solution

The fourth proportional to 20,578.98, 30,868.20 and 5,787.12 is: 8,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.98 : 30,868.20 = 5,787.12 : x
  2. Step 2: Convert to fraction form
    20,578.98/30,868.20 = 5,787.12/x
  3. Step 3: Cross multiply
    20,578.98x = 30,868.20 × 5,787.12
  4. Step 4: Simplify right side
    20,578.98x = 178,637,977.58
  5. Step 5: Solve for x
    x = 178,637,977.58/20,578.98
  6. Step 6: Final answer
    x = 8,680.60

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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.