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Finding the Fourth Proportional to 12,119.86, 18,168.85 and 8,423.83

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Solution

The fourth proportional to 12,119.86, 18,168.85 and 8,423.83 is: 12,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.86 : 18,168.85 = 8,423.83 : x
  2. Step 2: Convert to fraction form
    12,119.86/18,168.85 = 8,423.83/x
  3. Step 3: Cross multiply
    12,119.86x = 18,168.85 × 8,423.83
  4. Step 4: Simplify right side
    12,119.86x = 153,051,170.73
  5. Step 5: Solve for x
    x = 153,051,170.73/12,119.86
  6. Step 6: Final answer
    x = 12,628.14

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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.