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Finding the Fourth Proportional to 20,542.96, 30,806.88 and 7,391.80

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Solution

The fourth proportional to 20,542.96, 30,806.88 and 7,391.80 is: 11,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.96 : 30,806.88 = 7,391.80 : x
  2. Step 2: Convert to fraction form
    20,542.96/30,806.88 = 7,391.80/x
  3. Step 3: Cross multiply
    20,542.96x = 30,806.88 × 7,391.80
  4. Step 4: Simplify right side
    20,542.96x = 227,718,295.58
  5. Step 5: Solve for x
    x = 227,718,295.58/20,542.96
  6. Step 6: Final answer
    x = 11,084.98

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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.