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Finding the Fourth Proportional to 11,950.54, 17,924.32 and 3,186.07

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Solution

The fourth proportional to 11,950.54, 17,924.32 and 3,186.07 is: 4,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.54 : 17,924.32 = 3,186.07 : x
  2. Step 2: Convert to fraction form
    11,950.54/17,924.32 = 3,186.07/x
  3. Step 3: Cross multiply
    11,950.54x = 17,924.32 × 3,186.07
  4. Step 4: Simplify right side
    11,950.54x = 57,108,138.22
  5. Step 5: Solve for x
    x = 57,108,138.22/11,950.54
  6. Step 6: Final answer
    x = 4,778.71

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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.