1. **Problem Statement:** Add the following values together: 22.2, 19.5, 23.6, 23.9, 24.5, 26.2, 22.3, 26.1, 20.9, 21.2, 18.2, 23.5, 23.6, 22.9, 25.4, 22.6, 28.5, 23.1, 19.5, 26.5, 20.7, 24.6, 23.3, 25.4, 35.9, 24.5, 25.8, 23.2, 26.1, 22.4, 24.9, 30.2, 21.6, 26.4, 25.2, 21.2, 22.5, 23.2, 25, 22.4. 2. **Formula Used:** The sum of a list of numbers $x_1, x_2, ..., x_n$ is given by: $$\text{Sum} = \sum_{i=1}^n x_i$$ 3. **Explanation:** To find the total, we add each number one by one. Addition is commutative and associative, so the order does not affect the result. 4. **Intermediate Work:** Adding all values: $$22.2 + 19.5 + 23.6 + 23.9 + 24.5 + 26.2 + 22.3 + 26.1 + 20.9 + 21.2 + 18.2 + 23.5 + 23.6 + 22.9 + 25.4 + 22.6 + 28.5 + 23.1 + 19.5 + 26.5 + 20.7 + 24.6 + 23.3 + 25.4 + 35.9 + 24.5 + 25.8 + 23.2 + 26.1 + 22.4 + 24.9 + 30.2 + 21.6 + 26.4 + 25.2 + 21.2 + 22.5 + 23.2 + 25 + 22.4 = 900.7$$ 5. **Final Answer:** The sum of all the given numbers is **900.7**.