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Finding the Fourth Proportional to 20,541.02, 30,811.49 and 8,229.02

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Solution

The fourth proportional to 20,541.02, 30,811.49 and 8,229.02 is: 12,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.02 : 30,811.49 = 8,229.02 : x
  2. Step 2: Convert to fraction form
    20,541.02/30,811.49 = 8,229.02/x
  3. Step 3: Cross multiply
    20,541.02x = 30,811.49 × 8,229.02
  4. Step 4: Simplify right side
    20,541.02x = 253,548,367.44
  5. Step 5: Solve for x
    x = 253,548,367.44/20,541.02
  6. Step 6: Final answer
    x = 12,343.51

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1.5x scale

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.