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Finding the Fourth Proportional to 20,534.64, 30,805.20 and 9,452.22

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Solution

The fourth proportional to 20,534.64, 30,805.20 and 9,452.22 is: 14,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.64 : 30,805.20 = 9,452.22 : x
  2. Step 2: Convert to fraction form
    20,534.64/30,805.20 = 9,452.22/x
  3. Step 3: Cross multiply
    20,534.64x = 30,805.20 × 9,452.22
  4. Step 4: Simplify right side
    20,534.64x = 291,177,527.54
  5. Step 5: Solve for x
    x = 291,177,527.54/20,534.64
  6. Step 6: Final answer
    x = 14,179.82

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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.