In 1994, rock climbers in southern France stumbled on a cave containing prehistoric cave paintings. A $C^{14}$ analysis carried out by French archaeologist Helene Valladas showed that the paintings are between 29,700 and 32,400 years old, much older than any previously known human art. Given that the $C^{14}$ to $C^{12}$ ratio of the atmosphere is $R = 10^{-12}$, what $C^{14}$ to $C^{12}$ ratio did Valladas find in the charcoal specimen dated to 30200 years?

$\times 10^{-14}$