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Finding the Fourth Proportional to 11,955.06, 17,932.32 and 4,163.67

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Solution

The fourth proportional to 11,955.06, 17,932.32 and 4,163.67 is: 6,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.06 : 17,932.32 = 4,163.67 : x
  2. Step 2: Convert to fraction form
    11,955.06/17,932.32 = 4,163.67/x
  3. Step 3: Cross multiply
    11,955.06x = 17,932.32 × 4,163.67
  4. Step 4: Simplify right side
    11,955.06x = 74,664,262.81
  5. Step 5: Solve for x
    x = 74,664,262.81/11,955.06
  6. Step 6: Final answer
    x = 6,245.41

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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.