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Finding the Fourth Proportional to 11,954.45, 17,931.44 and 4,163.06

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Solution

The fourth proportional to 11,954.45, 17,931.44 and 4,163.06 is: 6,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.45 : 17,931.44 = 4,163.06 : x
  2. Step 2: Convert to fraction form
    11,954.45/17,931.44 = 4,163.06/x
  3. Step 3: Cross multiply
    11,954.45x = 17,931.44 × 4,163.06
  4. Step 4: Simplify right side
    11,954.45x = 74,649,715.84
  5. Step 5: Solve for x
    x = 74,649,715.84/11,954.45
  6. Step 6: Final answer
    x = 6,244.51

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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.