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Finding the Fourth Proportional to 12,202.39, 18,305.34 and 4,305.97

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Solution

The fourth proportional to 12,202.39, 18,305.34 and 4,305.97 is: 6,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.39 : 18,305.34 = 4,305.97 : x
  2. Step 2: Convert to fraction form
    12,202.39/18,305.34 = 4,305.97/x
  3. Step 3: Cross multiply
    12,202.39x = 18,305.34 × 4,305.97
  4. Step 4: Simplify right side
    12,202.39x = 78,822,244.88
  5. Step 5: Solve for x
    x = 78,822,244.88/12,202.39
  6. Step 6: Final answer
    x = 6,459.57

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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.