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Finding the Fourth Proportional to 20,152.56, 30,228.84 and 7,843.44

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Solution

The fourth proportional to 20,152.56, 30,228.84 and 7,843.44 is: 11,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.56 : 30,228.84 = 7,843.44 : x
  2. Step 2: Convert to fraction form
    20,152.56/30,228.84 = 7,843.44/x
  3. Step 3: Cross multiply
    20,152.56x = 30,228.84 × 7,843.44
  4. Step 4: Simplify right side
    20,152.56x = 237,098,092.81
  5. Step 5: Solve for x
    x = 237,098,092.81/20,152.56
  6. Step 6: Final answer
    x = 11,765.16

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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.