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Finding the Fourth Proportional to 20,576.62, 30,855.48 and 8,087.50

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Solution

The fourth proportional to 20,576.62, 30,855.48 and 8,087.50 is: 12,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.62 : 30,855.48 = 8,087.50 : x
  2. Step 2: Convert to fraction form
    20,576.62/30,855.48 = 8,087.50/x
  3. Step 3: Cross multiply
    20,576.62x = 30,855.48 × 8,087.50
  4. Step 4: Simplify right side
    20,576.62x = 249,543,694.50
  5. Step 5: Solve for x
    x = 249,543,694.50/20,576.62
  6. Step 6: Final answer
    x = 12,127.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.