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Finding the Fourth Proportional to 12,129.88, 18,161.07 and 6,193.95

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Solution

The fourth proportional to 12,129.88, 18,161.07 and 6,193.95 is: 9,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.88 : 18,161.07 = 6,193.95 : x
  2. Step 2: Convert to fraction form
    12,129.88/18,161.07 = 6,193.95/x
  3. Step 3: Cross multiply
    12,129.88x = 18,161.07 × 6,193.95
  4. Step 4: Simplify right side
    12,129.88x = 112,488,759.53
  5. Step 5: Solve for x
    x = 112,488,759.53/12,129.88
  6. Step 6: Final answer
    x = 9,273.69

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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.