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Finding the Fourth Proportional to 19,947.20, 29,906.40 and 8,254.40

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Solution

The fourth proportional to 19,947.20, 29,906.40 and 8,254.40 is: 12,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.20 : 29,906.40 = 8,254.40 : x
  2. Step 2: Convert to fraction form
    19,947.20/29,906.40 = 8,254.40/x
  3. Step 3: Cross multiply
    19,947.20x = 29,906.40 × 8,254.40
  4. Step 4: Simplify right side
    19,947.20x = 246,859,388.16
  5. Step 5: Solve for x
    x = 246,859,388.16/19,947.20
  6. Step 6: Final answer
    x = 12,375.64

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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.