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Finding the Fourth Proportional to 13,204.32, 18,221.94 and 7,236.24

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Solution

The fourth proportional to 13,204.32, 18,221.94 and 7,236.24 is: 9,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.32 : 18,221.94 = 7,236.24 : x
  2. Step 2: Convert to fraction form
    13,204.32/18,221.94 = 7,236.24/x
  3. Step 3: Cross multiply
    13,204.32x = 18,221.94 × 7,236.24
  4. Step 4: Simplify right side
    13,204.32x = 131,858,331.11
  5. Step 5: Solve for x
    x = 131,858,331.11/13,204.32
  6. Step 6: Final answer
    x = 9,986.00

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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.