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Finding the Fourth Proportional to 24,922.60, 37,380.20 and 8,282.24

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Solution

The fourth proportional to 24,922.60, 37,380.20 and 8,282.24 is: 12,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.60 : 37,380.20 = 8,282.24 : x
  2. Step 2: Convert to fraction form
    24,922.60/37,380.20 = 8,282.24/x
  3. Step 3: Cross multiply
    24,922.60x = 37,380.20 × 8,282.24
  4. Step 4: Simplify right side
    24,922.60x = 309,591,787.65
  5. Step 5: Solve for x
    x = 309,591,787.65/24,922.60
  6. Step 6: Final answer
    x = 12,422.13

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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.