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Finding the Fourth Proportional to 12,444.97, 18,665.80 and 4,122.89

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Solution

The fourth proportional to 12,444.97, 18,665.80 and 4,122.89 is: 6,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.97 : 18,665.80 = 4,122.89 : x
  2. Step 2: Convert to fraction form
    12,444.97/18,665.80 = 4,122.89/x
  3. Step 3: Cross multiply
    12,444.97x = 18,665.80 × 4,122.89
  4. Step 4: Simplify right side
    12,444.97x = 76,957,040.16
  5. Step 5: Solve for x
    x = 76,957,040.16/12,444.97
  6. Step 6: Final answer
    x = 6,183.79

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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.