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Finding the Fourth Proportional to 12,233.26, 18,347.37 and 7,728.95

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Solution

The fourth proportional to 12,233.26, 18,347.37 and 7,728.95 is: 11,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.26 : 18,347.37 = 7,728.95 : x
  2. Step 2: Convert to fraction form
    12,233.26/18,347.37 = 7,728.95/x
  3. Step 3: Cross multiply
    12,233.26x = 18,347.37 × 7,728.95
  4. Step 4: Simplify right side
    12,233.26x = 141,805,922.25
  5. Step 5: Solve for x
    x = 141,805,922.25/12,233.26
  6. Step 6: Final answer
    x = 11,591.83

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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.