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Finding the Fourth Proportional to 20,658.42, 30,976.65 and 8,177.94

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Solution

The fourth proportional to 20,658.42, 30,976.65 and 8,177.94 is: 12,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.42 : 30,976.65 = 8,177.94 : x
  2. Step 2: Convert to fraction form
    20,658.42/30,976.65 = 8,177.94/x
  3. Step 3: Cross multiply
    20,658.42x = 30,976.65 × 8,177.94
  4. Step 4: Simplify right side
    20,658.42x = 253,325,185.10
  5. Step 5: Solve for x
    x = 253,325,185.10/20,658.42
  6. Step 6: Final answer
    x = 12,262.56

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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.