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Finding the Fourth Proportional to 11,140.65, 16,678.17 and 8,231.94

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Solution

The fourth proportional to 11,140.65, 16,678.17 and 8,231.94 is: 12,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.65 : 16,678.17 = 8,231.94 : x
  2. Step 2: Convert to fraction form
    11,140.65/16,678.17 = 8,231.94/x
  3. Step 3: Cross multiply
    11,140.65x = 16,678.17 × 8,231.94
  4. Step 4: Simplify right side
    11,140.65x = 137,293,694.75
  5. Step 5: Solve for x
    x = 137,293,694.75/11,140.65
  6. Step 6: Final answer
    x = 12,323.67

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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.