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Finding the Fourth Proportional to 12,229.73, 18,339.93 and 5,205.31

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Solution

The fourth proportional to 12,229.73, 18,339.93 and 5,205.31 is: 7,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.73 : 18,339.93 = 5,205.31 : x
  2. Step 2: Convert to fraction form
    12,229.73/18,339.93 = 5,205.31/x
  3. Step 3: Cross multiply
    12,229.73x = 18,339.93 × 5,205.31
  4. Step 4: Simplify right side
    12,229.73x = 95,464,929.33
  5. Step 5: Solve for x
    x = 95,464,929.33/12,229.73
  6. Step 6: Final answer
    x = 7,805.98

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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.