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Finding the Fourth Proportional to 12,546.96, 18,821.82 and 5,523.96

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Solution

The fourth proportional to 12,546.96, 18,821.82 and 5,523.96 is: 8,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.96 : 18,821.82 = 5,523.96 : x
  2. Step 2: Convert to fraction form
    12,546.96/18,821.82 = 5,523.96/x
  3. Step 3: Cross multiply
    12,546.96x = 18,821.82 × 5,523.96
  4. Step 4: Simplify right side
    12,546.96x = 103,970,980.81
  5. Step 5: Solve for x
    x = 103,970,980.81/12,546.96
  6. Step 6: Final answer
    x = 8,286.55

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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.