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Finding the Fourth Proportional to 27,448.21, 41,168.66 and 7,728.46

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Solution

The fourth proportional to 27,448.21, 41,168.66 and 7,728.46 is: 11,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448.21 : 41,168.66 = 7,728.46 : x
  2. Step 2: Convert to fraction form
    27,448.21/41,168.66 = 7,728.46/x
  3. Step 3: Cross multiply
    27,448.21x = 41,168.66 × 7,728.46
  4. Step 4: Simplify right side
    27,448.21x = 318,170,464.31
  5. Step 5: Solve for x
    x = 318,170,464.31/27,448.21
  6. Step 6: Final answer
    x = 11,591.67

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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.