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Finding the Fourth Proportional to 20,033.24, 30,049.71 and 8,184.48

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Solution

The fourth proportional to 20,033.24, 30,049.71 and 8,184.48 is: 12,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.24 : 30,049.71 = 8,184.48 : x
  2. Step 2: Convert to fraction form
    20,033.24/30,049.71 = 8,184.48/x
  3. Step 3: Cross multiply
    20,033.24x = 30,049.71 × 8,184.48
  4. Step 4: Simplify right side
    20,033.24x = 245,941,250.50
  5. Step 5: Solve for x
    x = 245,941,250.50/20,033.24
  6. Step 6: Final answer
    x = 12,276.66

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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.