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Finding the Fourth Proportional to 12,647.72, 18,965.10 and 8,021

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Solution

The fourth proportional to 12,647.72, 18,965.10 and 8,021 is: 12,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.72 : 18,965.10 = 8,021 : x
  2. Step 2: Convert to fraction form
    12,647.72/18,965.10 = 8,021/x
  3. Step 3: Cross multiply
    12,647.72x = 18,965.10 × 8,021
  4. Step 4: Simplify right side
    12,647.72x = 152,119,067.10
  5. Step 5: Solve for x
    x = 152,119,067.10/12,647.72
  6. Step 6: Final answer
    x = 12,027.39

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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.