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Finding the Fourth Proportional to 20,537.52, 30,806.24 and 8,225.52

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Solution

The fourth proportional to 20,537.52, 30,806.24 and 8,225.52 is: 12,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.52 : 30,806.24 = 8,225.52 : x
  2. Step 2: Convert to fraction form
    20,537.52/30,806.24 = 8,225.52/x
  3. Step 3: Cross multiply
    20,537.52x = 30,806.24 × 8,225.52
  4. Step 4: Simplify right side
    20,537.52x = 253,397,343.24
  5. Step 5: Solve for x
    x = 253,397,343.24/20,537.52
  6. Step 6: Final answer
    x = 12,338.26

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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.