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Finding the Fourth Proportional to 12,679.85, 19,029.11 and 6,016.37

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Solution

The fourth proportional to 12,679.85, 19,029.11 and 6,016.37 is: 9,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.85 : 19,029.11 = 6,016.37 : x
  2. Step 2: Convert to fraction form
    12,679.85/19,029.11 = 6,016.37/x
  3. Step 3: Cross multiply
    12,679.85x = 19,029.11 × 6,016.37
  4. Step 4: Simplify right side
    12,679.85x = 114,486,086.43
  5. Step 5: Solve for x
    x = 114,486,086.43/12,679.85
  6. Step 6: Final answer
    x = 9,028.98

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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.