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Finding the Fourth Proportional to 20,593.14, 30,872.43 and 8,289.78

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Solution

The fourth proportional to 20,593.14, 30,872.43 and 8,289.78 is: 12,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.14 : 30,872.43 = 8,289.78 : x
  2. Step 2: Convert to fraction form
    20,593.14/30,872.43 = 8,289.78/x
  3. Step 3: Cross multiply
    20,593.14x = 30,872.43 × 8,289.78
  4. Step 4: Simplify right side
    20,593.14x = 255,925,652.77
  5. Step 5: Solve for x
    x = 255,925,652.77/20,593.14
  6. Step 6: Final answer
    x = 12,427.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.