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Finding the Fourth Proportional to 12,654.50, 18,993.33 and 6,418.82

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Solution

The fourth proportional to 12,654.50, 18,993.33 and 6,418.82 is: 9,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.50 : 18,993.33 = 6,418.82 : x
  2. Step 2: Convert to fraction form
    12,654.50/18,993.33 = 6,418.82/x
  3. Step 3: Cross multiply
    12,654.50x = 18,993.33 × 6,418.82
  4. Step 4: Simplify right side
    12,654.50x = 121,914,671.50
  5. Step 5: Solve for x
    x = 121,914,671.50/12,654.50
  6. Step 6: Final answer
    x = 9,634.10

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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.