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Finding the Fourth Proportional to 13,204.81, 18,223.11 and 7,236.49

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Solution

The fourth proportional to 13,204.81, 18,223.11 and 7,236.49 is: 9,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.81 : 18,223.11 = 7,236.49 : x
  2. Step 2: Convert to fraction form
    13,204.81/18,223.11 = 7,236.49/x
  3. Step 3: Cross multiply
    13,204.81x = 18,223.11 × 7,236.49
  4. Step 4: Simplify right side
    13,204.81x = 131,871,353.28
  5. Step 5: Solve for x
    x = 131,871,353.28/13,204.81
  6. Step 6: Final answer
    x = 9,986.61

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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.