The spelling of the word "keathley" can be explained using the International Phonetic Alphabet (IPA). The first sound is represented by the "k" symbol, which is produced by stopping the flow of air at the back of the mouth. The "eɪ" symbol represents the long vowel sound in "gate". The "θ" symbol represents the "th" sound, which is made by placing the tongue between the teeth. The "l" symbol represents the voiced "l" sound, followed by the "i" sound represented by the "i" symbol. The final "eɪ" sound signifies the same long vowel sound as before.