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Finding the Fourth Proportional to 20,525.22, 30,787.84 and 4,942.84

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Solution

The fourth proportional to 20,525.22, 30,787.84 and 4,942.84 is: 7,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.22 : 30,787.84 = 4,942.84 : x
  2. Step 2: Convert to fraction form
    20,525.22/30,787.84 = 4,942.84/x
  3. Step 3: Cross multiply
    20,525.22x = 30,787.84 × 4,942.84
  4. Step 4: Simplify right side
    20,525.22x = 152,179,367.07
  5. Step 5: Solve for x
    x = 152,179,367.07/20,525.22
  6. Step 6: Final answer
    x = 7,414.26

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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.