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Finding the Fourth Proportional to 12,230.54, 18,348.43 and 3,796.87

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Solution

The fourth proportional to 12,230.54, 18,348.43 and 3,796.87 is: 5,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.54 : 18,348.43 = 3,796.87 : x
  2. Step 2: Convert to fraction form
    12,230.54/18,348.43 = 3,796.87/x
  3. Step 3: Cross multiply
    12,230.54x = 18,348.43 × 3,796.87
  4. Step 4: Simplify right side
    12,230.54x = 69,666,548.05
  5. Step 5: Solve for x
    x = 69,666,548.05/12,230.54
  6. Step 6: Final answer
    x = 5,696.12

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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.