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Finding the Fourth Proportional to 20,029.87, 30,021.21 and 8,176.24

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Solution

The fourth proportional to 20,029.87, 30,021.21 and 8,176.24 is: 12,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.87 : 30,021.21 = 8,176.24 : x
  2. Step 2: Convert to fraction form
    20,029.87/30,021.21 = 8,176.24/x
  3. Step 3: Cross multiply
    20,029.87x = 30,021.21 × 8,176.24
  4. Step 4: Simplify right side
    20,029.87x = 245,460,618.05
  5. Step 5: Solve for x
    x = 245,460,618.05/20,029.87
  6. Step 6: Final answer
    x = 12,254.73

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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.