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Finding the Fourth Proportional to 12,213.74, 18,321.64 and 3,894.94

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Solution

The fourth proportional to 12,213.74, 18,321.64 and 3,894.94 is: 5,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.74 : 18,321.64 = 3,894.94 : x
  2. Step 2: Convert to fraction form
    12,213.74/18,321.64 = 3,894.94/x
  3. Step 3: Cross multiply
    12,213.74x = 18,321.64 × 3,894.94
  4. Step 4: Simplify right side
    12,213.74x = 71,361,688.50
  5. Step 5: Solve for x
    x = 71,361,688.50/12,213.74
  6. Step 6: Final answer
    x = 5,842.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.