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Finding the Fourth Proportional to 11,778.46, 17,668.23 and 8,331.10

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Solution

The fourth proportional to 11,778.46, 17,668.23 and 8,331.10 is: 12,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.46 : 17,668.23 = 8,331.10 : x
  2. Step 2: Convert to fraction form
    11,778.46/17,668.23 = 8,331.10/x
  3. Step 3: Cross multiply
    11,778.46x = 17,668.23 × 8,331.10
  4. Step 4: Simplify right side
    11,778.46x = 147,195,790.95
  5. Step 5: Solve for x
    x = 147,195,790.95/11,778.46
  6. Step 6: Final answer
    x = 12,497.03

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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.