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Finding the Fourth Proportional to 20,157.92, 30,236.90 and 7,675

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Solution

The fourth proportional to 20,157.92, 30,236.90 and 7,675 is: 11,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.92 : 30,236.90 = 7,675 : x
  2. Step 2: Convert to fraction form
    20,157.92/30,236.90 = 7,675/x
  3. Step 3: Cross multiply
    20,157.92x = 30,236.90 × 7,675
  4. Step 4: Simplify right side
    20,157.92x = 232,068,207.50
  5. Step 5: Solve for x
    x = 232,068,207.50/20,157.92
  6. Step 6: Final answer
    x = 11,512.51

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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.