2 Blue Moons

Geometry Level 5

4 circles are situated between 2 parallel lines and tangent to each other and to the lines as per diagram. The radii of C1C_1 and C2C_2 are 18 and 6 respectively..

If xx is the radius of C3C_3 and yy is the radius of C4C_4, find x+yx + y to the nearest 3 decimal places.

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