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Finding the Fourth Proportional to 13,204.80, 18,222.54 and 7,236.84

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Solution

The fourth proportional to 13,204.80, 18,222.54 and 7,236.84 is: 9,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.80 : 18,222.54 = 7,236.84 : x
  2. Step 2: Convert to fraction form
    13,204.80/18,222.54 = 7,236.84/x
  3. Step 3: Cross multiply
    13,204.80x = 18,222.54 × 7,236.84
  4. Step 4: Simplify right side
    13,204.80x = 131,873,606.37
  5. Step 5: Solve for x
    x = 131,873,606.37/13,204.80
  6. Step 6: Final answer
    x = 9,986.79

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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.