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Finding the Fourth Proportional to 12,198.47, 18,300.87 and 5,629.37

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Solution

The fourth proportional to 12,198.47, 18,300.87 and 5,629.37 is: 8,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.47 : 18,300.87 = 5,629.37 : x
  2. Step 2: Convert to fraction form
    12,198.47/18,300.87 = 5,629.37/x
  3. Step 3: Cross multiply
    12,198.47x = 18,300.87 × 5,629.37
  4. Step 4: Simplify right side
    12,198.47x = 103,022,277.05
  5. Step 5: Solve for x
    x = 103,022,277.05/12,198.47
  6. Step 6: Final answer
    x = 8,445.51

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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.