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Finding the Fourth Proportional to 11,954.84, 17,932.23 and 4,163.63

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Solution

The fourth proportional to 11,954.84, 17,932.23 and 4,163.63 is: 6,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.84 : 17,932.23 = 4,163.63 : x
  2. Step 2: Convert to fraction form
    11,954.84/17,932.23 = 4,163.63/x
  3. Step 3: Cross multiply
    11,954.84x = 17,932.23 × 4,163.63
  4. Step 4: Simplify right side
    11,954.84x = 74,663,081.13
  5. Step 5: Solve for x
    x = 74,663,081.13/11,954.84
  6. Step 6: Final answer
    x = 6,245.43

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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.