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Finding the Fourth Proportional to 12,126.99, 18,198.83 and 4,229.57

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Solution

The fourth proportional to 12,126.99, 18,198.83 and 4,229.57 is: 6,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.99 : 18,198.83 = 4,229.57 : x
  2. Step 2: Convert to fraction form
    12,126.99/18,198.83 = 4,229.57/x
  3. Step 3: Cross multiply
    12,126.99x = 18,198.83 × 4,229.57
  4. Step 4: Simplify right side
    12,126.99x = 76,973,113.26
  5. Step 5: Solve for x
    x = 76,973,113.26/12,126.99
  6. Step 6: Final answer
    x = 6,347.26

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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.