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Finding the Fourth Proportional to 12,107.90, 18,161.84 and 4,311.24

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Solution

The fourth proportional to 12,107.90, 18,161.84 and 4,311.24 is: 6,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.90 : 18,161.84 = 4,311.24 : x
  2. Step 2: Convert to fraction form
    12,107.90/18,161.84 = 4,311.24/x
  3. Step 3: Cross multiply
    12,107.90x = 18,161.84 × 4,311.24
  4. Step 4: Simplify right side
    12,107.90x = 78,300,061.86
  5. Step 5: Solve for x
    x = 78,300,061.86/12,107.90
  6. Step 6: Final answer
    x = 6,466.86

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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.