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Finding the Fourth Proportional to 20,515.20, 30,772.08 and 8,203.20

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Solution

The fourth proportional to 20,515.20, 30,772.08 and 8,203.20 is: 12,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515.20 : 30,772.08 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    20,515.20/30,772.08 = 8,203.20/x
  3. Step 3: Cross multiply
    20,515.20x = 30,772.08 × 8,203.20
  4. Step 4: Simplify right side
    20,515.20x = 252,429,526.66
  5. Step 5: Solve for x
    x = 252,429,526.66/20,515.20
  6. Step 6: Final answer
    x = 12,304.51

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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.