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Finding the Fourth Proportional to 12,161.63, 18,247.36 and 8,000.86

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Solution

The fourth proportional to 12,161.63, 18,247.36 and 8,000.86 is: 12,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.63 : 18,247.36 = 8,000.86 : x
  2. Step 2: Convert to fraction form
    12,161.63/18,247.36 = 8,000.86/x
  3. Step 3: Cross multiply
    12,161.63x = 18,247.36 × 8,000.86
  4. Step 4: Simplify right side
    12,161.63x = 145,994,572.73
  5. Step 5: Solve for x
    x = 145,994,572.73/12,161.63
  6. Step 6: Final answer
    x = 12,004.52

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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.