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Finding the Fourth Proportional to 27,544.08, 41,308.74 and 11,958

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Solution

The fourth proportional to 27,544.08, 41,308.74 and 11,958 is: 17,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.08 : 41,308.74 = 11,958 : x
  2. Step 2: Convert to fraction form
    27,544.08/41,308.74 = 11,958/x
  3. Step 3: Cross multiply
    27,544.08x = 41,308.74 × 11,958
  4. Step 4: Simplify right side
    27,544.08x = 493,969,912.92
  5. Step 5: Solve for x
    x = 493,969,912.92/27,544.08
  6. Step 6: Final answer
    x = 17,933.80

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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.