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Finding the Fourth Proportional to 12,170.96, 18,245.88 and 5,922.26

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Solution

The fourth proportional to 12,170.96, 18,245.88 and 5,922.26 is: 8,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.96 : 18,245.88 = 5,922.26 : x
  2. Step 2: Convert to fraction form
    12,170.96/18,245.88 = 5,922.26/x
  3. Step 3: Cross multiply
    12,170.96x = 18,245.88 × 5,922.26
  4. Step 4: Simplify right side
    12,170.96x = 108,056,845.29
  5. Step 5: Solve for x
    x = 108,056,845.29/12,170.96
  6. Step 6: Final answer
    x = 8,878.25

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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.