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Finding the Fourth Proportional to 20,576.98, 30,867.23 and 8,096.23

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Solution

The fourth proportional to 20,576.98, 30,867.23 and 8,096.23 is: 12,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.98 : 30,867.23 = 8,096.23 : x
  2. Step 2: Convert to fraction form
    20,576.98/30,867.23 = 8,096.23/x
  3. Step 3: Cross multiply
    20,576.98x = 30,867.23 × 8,096.23
  4. Step 4: Simplify right side
    20,576.98x = 249,908,193.54
  5. Step 5: Solve for x
    x = 249,908,193.54/20,576.98
  6. Step 6: Final answer
    x = 12,145.04

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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.