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Finding the Fourth Proportional to 20,760.41, 31,146.20 and 8,289.20

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Solution

The fourth proportional to 20,760.41, 31,146.20 and 8,289.20 is: 12,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.41 : 31,146.20 = 8,289.20 : x
  2. Step 2: Convert to fraction form
    20,760.41/31,146.20 = 8,289.20/x
  3. Step 3: Cross multiply
    20,760.41x = 31,146.20 × 8,289.20
  4. Step 4: Simplify right side
    20,760.41x = 258,177,081.04
  5. Step 5: Solve for x
    x = 258,177,081.04/20,760.41
  6. Step 6: Final answer
    x = 12,436.03

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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.