Chart of SWF versions to Flash versions
We were facing the same problem at my employer, and we've found the following mappings:
SWF Version | Flash Player Version | AIR Version
---------------+------------------------+---------------
44 | N/A | 33.1
43 | 32 | 32
42 | 31 | 31
41 | 30 | 30
40 | 29 | 29
39 | 28 | 28
38 | 27 | 27
37 | 26 | 26
36 | 25 | 25
35 | 24 | 24
34 | 23 | 23
33 | 22 | 22
32 | 21 | 21
31 | 20 | 20
30 | 19 | 19
29 | 18 | 18
28 | 17 | 17
27 | 16 | 16
26 | 15 | 15
25 | 14 | 14
24 | 13 | 13
23 | 12 | 4
22 | 11.9 | 3.9
21 | 11.8 | 3.8
20 | 11.7 | 3.7
19 | 11.6 | 3.6
18 | 11.5 | 3.5
17 | 11.4 | 3.4
16 | 11.3 | 3.3
15 | 11.2 | 3.2
14 | 11.1 | 3.1
13 | 11.0 | 3
12 | 10.3 | 2.7
11 | 10.2 | 2.6
10 | 10.0, 10.1 | 1.5, 2.0
9 | 9.0.115.0 | N/A
Source: www.adobe.com.
Comment: shamelessly copied from my previous answer here.