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Finding the Fourth Proportional to 12,682.73, 18,999.87 and 7,119.20

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Solution

The fourth proportional to 12,682.73, 18,999.87 and 7,119.20 is: 10,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.73 : 18,999.87 = 7,119.20 : x
  2. Step 2: Convert to fraction form
    12,682.73/18,999.87 = 7,119.20/x
  3. Step 3: Cross multiply
    12,682.73x = 18,999.87 × 7,119.20
  4. Step 4: Simplify right side
    12,682.73x = 135,263,874.50
  5. Step 5: Solve for x
    x = 135,263,874.50/12,682.73
  6. Step 6: Final answer
    x = 10,665.20

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Why These Related Problems?

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