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Finding the Fourth Proportional to 13,202.37, 18,218.84 and 7,233.98

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Solution

The fourth proportional to 13,202.37, 18,218.84 and 7,233.98 is: 9,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.37 : 18,218.84 = 7,233.98 : x
  2. Step 2: Convert to fraction form
    13,202.37/18,218.84 = 7,233.98/x
  3. Step 3: Cross multiply
    13,202.37x = 18,218.84 × 7,233.98
  4. Step 4: Simplify right side
    13,202.37x = 131,794,596.92
  5. Step 5: Solve for x
    x = 131,794,596.92/13,202.37
  6. Step 6: Final answer
    x = 9,982.65

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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.