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Finding the Fourth Proportional to 19,986.61, 29,974.70 and 5,942.86

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Solution

The fourth proportional to 19,986.61, 29,974.70 and 5,942.86 is: 8,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.61 : 29,974.70 = 5,942.86 : x
  2. Step 2: Convert to fraction form
    19,986.61/29,974.70 = 5,942.86/x
  3. Step 3: Cross multiply
    19,986.61x = 29,974.70 × 5,942.86
  4. Step 4: Simplify right side
    19,986.61x = 178,135,385.89
  5. Step 5: Solve for x
    x = 178,135,385.89/19,986.61
  6. Step 6: Final answer
    x = 8,912.73

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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.