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Finding the Fourth Proportional to 20,082.86, 30,103.40 and 6,745.96

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Solution

The fourth proportional to 20,082.86, 30,103.40 and 6,745.96 is: 10,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.86 : 30,103.40 = 6,745.96 : x
  2. Step 2: Convert to fraction form
    20,082.86/30,103.40 = 6,745.96/x
  3. Step 3: Cross multiply
    20,082.86x = 30,103.40 × 6,745.96
  4. Step 4: Simplify right side
    20,082.86x = 203,076,148.02
  5. Step 5: Solve for x
    x = 203,076,148.02/20,082.86
  6. Step 6: Final answer
    x = 10,111.92

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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.