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Finding the Fourth Proportional to 20,140.94, 30,215.73 and 8,447.42

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Solution

The fourth proportional to 20,140.94, 30,215.73 and 8,447.42 is: 12,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.94 : 30,215.73 = 8,447.42 : x
  2. Step 2: Convert to fraction form
    20,140.94/30,215.73 = 8,447.42/x
  3. Step 3: Cross multiply
    20,140.94x = 30,215.73 × 8,447.42
  4. Step 4: Simplify right side
    20,140.94x = 255,244,961.92
  5. Step 5: Solve for x
    x = 255,244,961.92/20,140.94
  6. Step 6: Final answer
    x = 12,672.94

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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.