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Finding the Fourth Proportional to 20,524.71, 30,787.08 and 4,942.34

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Solution

The fourth proportional to 20,524.71, 30,787.08 and 4,942.34 is: 7,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.71 : 30,787.08 = 4,942.34 : x
  2. Step 2: Convert to fraction form
    20,524.71/30,787.08 = 4,942.34/x
  3. Step 3: Cross multiply
    20,524.71x = 30,787.08 × 4,942.34
  4. Step 4: Simplify right side
    20,524.71x = 152,160,063.03
  5. Step 5: Solve for x
    x = 152,160,063.03/20,524.71
  6. Step 6: Final answer
    x = 7,413.51

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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.