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Finding the Fourth Proportional to 20,551.92, 30,824.34 and 5,757.33

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Solution

The fourth proportional to 20,551.92, 30,824.34 and 5,757.33 is: 8,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.92 : 30,824.34 = 5,757.33 : x
  2. Step 2: Convert to fraction form
    20,551.92/30,824.34 = 5,757.33/x
  3. Step 3: Cross multiply
    20,551.92x = 30,824.34 × 5,757.33
  4. Step 4: Simplify right side
    20,551.92x = 177,465,897.41
  5. Step 5: Solve for x
    x = 177,465,897.41/20,551.92
  6. Step 6: Final answer
    x = 8,635.00

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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.