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Finding the Fourth Proportional to 12,662.43, 18,993.69 and 3,897.30

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Solution

The fourth proportional to 12,662.43, 18,993.69 and 3,897.30 is: 5,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.43 : 18,993.69 = 3,897.30 : x
  2. Step 2: Convert to fraction form
    12,662.43/18,993.69 = 3,897.30/x
  3. Step 3: Cross multiply
    12,662.43x = 18,993.69 × 3,897.30
  4. Step 4: Simplify right side
    12,662.43x = 74,024,108.04
  5. Step 5: Solve for x
    x = 74,024,108.04/12,662.43
  6. Step 6: Final answer
    x = 5,845.96

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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.