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Finding the Fourth Proportional to 11,629.68, 17,449.19 and 4,234.65

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Solution

The fourth proportional to 11,629.68, 17,449.19 and 4,234.65 is: 6,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.68 : 17,449.19 = 4,234.65 : x
  2. Step 2: Convert to fraction form
    11,629.68/17,449.19 = 4,234.65/x
  3. Step 3: Cross multiply
    11,629.68x = 17,449.19 × 4,234.65
  4. Step 4: Simplify right side
    11,629.68x = 73,891,191.26
  5. Step 5: Solve for x
    x = 73,891,191.26/11,629.68
  6. Step 6: Final answer
    x = 6,353.67

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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.