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Finding the Fourth Proportional to 13,204.22, 18,221.82 and 7,236.12

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Solution

The fourth proportional to 13,204.22, 18,221.82 and 7,236.12 is: 9,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.22 : 18,221.82 = 7,236.12 : x
  2. Step 2: Convert to fraction form
    13,204.22/18,221.82 = 7,236.12/x
  3. Step 3: Cross multiply
    13,204.22x = 18,221.82 × 7,236.12
  4. Step 4: Simplify right side
    13,204.22x = 131,855,276.14
  5. Step 5: Solve for x
    x = 131,855,276.14/13,204.22
  6. Step 6: Final answer
    x = 9,985.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.