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Finding the Fourth Proportional to 12,679.62, 19,019.43 and 6,873

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Solution

The fourth proportional to 12,679.62, 19,019.43 and 6,873 is: 10,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.62 : 19,019.43 = 6,873 : x
  2. Step 2: Convert to fraction form
    12,679.62/19,019.43 = 6,873/x
  3. Step 3: Cross multiply
    12,679.62x = 19,019.43 × 6,873
  4. Step 4: Simplify right side
    12,679.62x = 130,720,542.39
  5. Step 5: Solve for x
    x = 130,720,542.39/12,679.62
  6. Step 6: Final answer
    x = 10,309.50

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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.