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Finding the Fourth Proportional to 20,594.76, 30,902.49 and 8,123.73

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Solution

The fourth proportional to 20,594.76, 30,902.49 and 8,123.73 is: 12,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.76 : 30,902.49 = 8,123.73 : x
  2. Step 2: Convert to fraction form
    20,594.76/30,902.49 = 8,123.73/x
  3. Step 3: Cross multiply
    20,594.76x = 30,902.49 × 8,123.73
  4. Step 4: Simplify right side
    20,594.76x = 251,043,485.09
  5. Step 5: Solve for x
    x = 251,043,485.09/20,594.76
  6. Step 6: Final answer
    x = 12,189.68

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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.