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Finding the Fourth Proportional to 11,736.14, 17,626.14 and 10,331.06

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Solution

The fourth proportional to 11,736.14, 17,626.14 and 10,331.06 is: 15,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.14 : 17,626.14 = 10,331.06 : x
  2. Step 2: Convert to fraction form
    11,736.14/17,626.14 = 10,331.06/x
  3. Step 3: Cross multiply
    11,736.14x = 17,626.14 × 10,331.06
  4. Step 4: Simplify right side
    11,736.14x = 182,096,621.78
  5. Step 5: Solve for x
    x = 182,096,621.78/11,736.14
  6. Step 6: Final answer
    x = 15,515.89

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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.