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Finding the Fourth Proportional to 12,218.37, 18,321.36 and 5,969.03

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Solution

The fourth proportional to 12,218.37, 18,321.36 and 5,969.03 is: 8,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.37 : 18,321.36 = 5,969.03 : x
  2. Step 2: Convert to fraction form
    12,218.37/18,321.36 = 5,969.03/x
  3. Step 3: Cross multiply
    12,218.37x = 18,321.36 × 5,969.03
  4. Step 4: Simplify right side
    12,218.37x = 109,360,655.87
  5. Step 5: Solve for x
    x = 109,360,655.87/12,218.37
  6. Step 6: Final answer
    x = 8,950.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.