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Finding the Fourth Proportional to 20,115.50, 30,182.99 and 8,278.02

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Solution

The fourth proportional to 20,115.50, 30,182.99 and 8,278.02 is: 12,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.50 : 30,182.99 = 8,278.02 : x
  2. Step 2: Convert to fraction form
    20,115.50/30,182.99 = 8,278.02/x
  3. Step 3: Cross multiply
    20,115.50x = 30,182.99 × 8,278.02
  4. Step 4: Simplify right side
    20,115.50x = 249,855,353.49
  5. Step 5: Solve for x
    x = 249,855,353.49/20,115.50
  6. Step 6: Final answer
    x = 12,421.04

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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.