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Default Formula to sum values extracted from string

Hi all

I'll preface this by pointing out that I do NOT want to use text to
columns, nor a VBA solution. I'm looking for a formula alternative -
maybe an array formula.

I have a single column of data extracted from a string, which
represents numeric values, single space-separated. The data looks like
this:

8.56 2,514.12 3.18 0.35

What I'd ideally like is a formula that sums each of the four values,
which in the above example would be 2,526.21.

Any suggestions appreciated.


 
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