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Finding the Fourth Proportional to 20,163.90, 30,256.65 and 8,478.30

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Solution

The fourth proportional to 20,163.90, 30,256.65 and 8,478.30 is: 12,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.90 : 30,256.65 = 8,478.30 : x
  2. Step 2: Convert to fraction form
    20,163.90/30,256.65 = 8,478.30/x
  3. Step 3: Cross multiply
    20,163.90x = 30,256.65 × 8,478.30
  4. Step 4: Simplify right side
    20,163.90x = 256,524,955.70
  5. Step 5: Solve for x
    x = 256,524,955.70/20,163.90
  6. Step 6: Final answer
    x = 12,721.99

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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.