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Finding the Fourth Proportional to 20,198.78, 30,271.43 and 15,500.83

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Solution

The fourth proportional to 20,198.78, 30,271.43 and 15,500.83 is: 23,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.78 : 30,271.43 = 15,500.83 : x
  2. Step 2: Convert to fraction form
    20,198.78/30,271.43 = 15,500.83/x
  3. Step 3: Cross multiply
    20,198.78x = 30,271.43 × 15,500.83
  4. Step 4: Simplify right side
    20,198.78x = 469,232,290.29
  5. Step 5: Solve for x
    x = 469,232,290.29/20,198.78
  6. Step 6: Final answer
    x = 23,230.72

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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.